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Suma de la serie:
n/x^n
n/(n^3+1)
n/(2*n+1)
x^n*n/5^n
Expresiones idénticas
cos(trescientos sesenta ×n/ dos mil dieciséis - ciento ochenta / dos mil dieciséis)
coseno de (360×n dividir por 2016 menos 180 dividir por 2016)
coseno de (trescientos sesenta ×n dividir por dos mil dieciséis menos ciento ochenta dividir por dos mil dieciséis)
cos360×n/2016-180/2016
cos(360×n dividir por 2016-180 dividir por 2016)
Expresiones semejantes
cos(360×n/2016+180/2016)
Expresiones con funciones
Coseno cos
cos(n*2.8)
cos(exp^(0,1*i)+i)
cos(a(k-1))
cos(3.14*n+1/n)
cos(i*n)

Suma de la serie/ cos(360×n/2016-180/2016)

Suma de la serie cos(360×n/2016-180/2016)

Solución

Ha introducido [src]

 1008                
 ___                 
 \  `                
  \      /360*n   5 \
   )  cos|----- - --|
  /      \ 2016   56/
 /__,                
n = 1

$$\sum_{n=1}^{1008} \cos{\left(\frac{360 n}{2016} - \frac{5}{56} \right)}$$

Sum(cos((360*n)/2016 - 5/56), (n, 1, 1008))

Velocidad de la convergencia de la serie

Respuesta [src]

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                        /465\                   /475\                   /485\                   /495\                   /505\                   /515\                                /535\                   /545\                   /555\                   /565\                   /575\                   /585\                                /605\                   /615\                   /625\                   /635\                   /645\                   /655\                                /675\                   /685\                   /695\                   /705\                   /715\                   /725\                                /745\                   /755\                   /765\                   /775\                   /785\                   /795\                                /815\                   /825\                   /835\                   /845\                   /855\                   /865\                                /885\                   /895\                   /905\                   /915\                   /925\                   /935\                                /955\                   /965\                   /975\                   /985\                   /995\                    /1005\                                  /1025\                    /1035\                    /1045\                    /1055\                    /1065\                    /1075\                                  /1095\                    /1105\                    /1115\                    /1125\                    /1135\                    /1145\                                  /1165\                    /1175\                    /1185\                    /1195\                    /1205\                    /1215\                                  /1235\                    /1245\                    /1255\                    /1265\                    /1275\                    /1285\                                  /1305\                    /1315\                    /1325\                    /1335\                    /1345\                    /1355\                                  /1375\                    /1385\                    /1395\                    /1405\                    /1415\                    /1425\                    /1445\      /1455\      /1465\      /1475\      /1485\      /1495\      /1515\      /1525\      /1535\      /1545\      /1555\      /1565\      /1585\      /1595\      /1605\      /1615\      /1625\      /1635\      /1655\      /1665\      /1675\      /1685\      /1695\      /1705\      /1725\      /1735\      /1745\      /1755\      /1765\      /1775\      /1795\      /1805\      /1815\      /1825\      /1835\      /1845\      /1865\      /1875\      /1885\      /1895\      /1905\      /1915\      /1935\      /1945\      /1955\      /1965\      /1975\      /1985\      /2005\      /2015\      /2025\      /2035\      /2045\      /2055\      /2075\      /2085\      /2095\      /2105\      /2115\      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/5035\      /5045\      /5055\      /5065\      /5085\      /5095\      /5105\      /5115\      /5125\      /5135\      /5155\      /5165\      /5175\      /5185\      /5195\      /5205\      /5225\      /5235\      /5245\      /5255\      /5265\      /5275\      /5295\      /5305\      /5315\      /5325\      /5335\      /5345\      /5365\      /5375\      /5385\      /5395\      /5405\      /5415\      /5435\      /5445\      /5455\      /5465\      /5475\      /5485\      /5505\      /5515\      /5525\      /5535\      /5545\      /5555\      /5575\      /5585\      /5595\      /5605\      /5615\      /5625\      /5645\      /5655\      /5665\      /5675\      /5685\      /5695\      /5715\      /5725\      /5735\      /5745\      /5755\      /5765\      /5785\      /5795\      /5805\      /5815\      /5825\      /5835\      /5855\      /5865\      /5875\      /5885\      /5895\      /5905\      /5925\      /5935\      /5945\      /5955\      /5965\      /5975\      /5995\      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/6975\      /6985\      /6995\      /7005\      /7015\      /7025\      /7045\      /7055\      /7065\      /7075\      /7085\      /7095\      /7115\      /7125\      /7135\      /7145\      /7155\      /7165\      /7185\      /7195\      /7205\      /7215\      /7225\      /7235\      /7255\      /7265\      /7275\      /7285\      /7295\      /7305\      /7325\      /7335\      /7345\      /7355\      /7365\      /7375\      /7395\      /7405\      /7415\      /7425\      /7435\      /7445\      /7465\      /7475\      /7485\      /7495\      /7505\      /7515\      /7535\      /7545\      /7555\      /7565\      /7575\      /7585\      /7605\      /7615\      /7625\      /7635\      /7645\      /7655\      /7675\      /7685\      /7695\      /7705\      /7715\      /7725\      /7745\      /7755\      /7765\      /7775\      /7785\      /7795\      /7815\      /7825\      /7835\      /7845\      /7855\      /7865\      /7885\      /7895\      /7905\      /7915\      /7925\      /7935\      /7955\      /7965\      /7975\      /7985\      /7995\      /8005\      /8025\      /8035\      /8045\      /8055\      /8065\      /8075\      /8095\      /8105\      /8115\      /8125\      /8135\      /8145\      /8165\      /8175\      /8185\      /8195\      /8205\      /8215\      /8235\      /8245\      /8255\      /8265\      /8275\      /8285\      /8305\      /8315\      /8325\      /8335\      /8345\      /8355\      /8375\      /8385\      /8395\      /8405\      /8415\      /8425\      /8445\      /8455\      /8465\      /8475\      /8485\      /8495\      /8515\      /8525\      /8535\      /8545\      /8555\      /8565\      /8585\      /8595\      /8605\      /8615\      /8625\      /8635\      /8655\      /8665\      /8675\      /8685\      /8695\      /8705\      /8725\      /8735\      /8745\      /8755\      /8765\      /8775\      /8795\      /8805\      /8815\      /8825\      /8835\      /8845\      /8865\      /8875\      /8885\      /8895\      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cos(5/8) + cos(5/56) + cos(15/8) + cos|--| + cos(25/8) + cos|--| + cos(35/8) + cos(45/8) + cos|--| + cos(55/8) + cos|--| + cos(65/8) + cos|--| + cos(75/8) + cos|--| + cos(85/8) + cos|--| + cos(95/8) + cos|--| + cos(105/8) + cos(115/8) + cos|---| + cos(125/8) + cos|---| + cos(135/8) + cos|---| + cos(145/8) + cos|---| + cos(155/8) + cos|---| + cos(165/8) + cos|---| + cos(175/8) + cos(185/8) + cos|---| + cos(195/8) + cos|---| + cos(205/8) + cos|---| + cos(215/8) + cos|---| + cos(225/8) + cos|---| + cos(235/8) + cos|---| + cos(245/8) + cos(255/8) + cos|---| + cos(265/8) + cos|---| + cos(275/8) + cos|---| + cos(285/8) + cos|---| + cos(295/8) + cos|---| + cos(305/8) + cos|---| + cos(315/8) + cos(325/8) + cos|---| + cos(335/8) + cos|---| + cos(345/8) + cos|---| + cos(355/8) + cos|---| + cos(365/8) + cos|---| + cos(375/8) + cos|---| + cos(385/8) + cos(395/8) + cos|---| + cos(405/8) + cos|---| + cos(415/8) + cos|---| + cos(425/8) + cos|---| + cos(435/8) + cos|---| + cos(445/8) + cos|---| + cos(455/8) + cos(465/8) + cos|---| + cos(475/8) + cos|---| + cos(485/8) + cos|---| + cos(495/8) + cos|---| + cos(505/8) + cos|---| + cos(515/8) + cos|---| + cos(525/8) + cos(535/8) + cos|---| + cos(545/8) + cos|---| + cos(555/8) + cos|---| + cos(565/8) + cos|---| + cos(575/8) + cos|---| + cos(585/8) + cos|---| + cos(595/8) + cos(605/8) + cos|---| + cos(615/8) + cos|---| + cos(625/8) + cos|---| + cos(635/8) + cos|---| + cos(645/8) + cos|---| + cos(655/8) + cos|---| + cos(665/8) + cos(675/8) + cos|---| + cos(685/8) + cos|---| + cos(695/8) + cos|---| + cos(705/8) + cos|---| + cos(715/8) + cos|---| + cos(725/8) + cos|---| + cos(735/8) + cos(745/8) + cos|---| + cos(755/8) + cos|---| + cos(765/8) + cos|---| + cos(775/8) + cos|---| + cos(785/8) + cos|---| + cos(795/8) + cos|---| + cos(805/8) + cos(815/8) + cos|---| + cos(825/8) + cos|---| + cos(835/8) + cos|---| + cos(845/8) + cos|---| + cos(855/8) + cos|---| + cos(865/8) + cos|---| + cos(875/8) + cos(885/8) + cos|---| + cos(895/8) + cos|---| + cos(905/8) + cos|---| + cos(915/8) + cos|---| + cos(925/8) + cos|---| + cos(935/8) + cos|---| + cos(945/8) + cos(955/8) + cos|---| + cos(965/8) + cos|---| + cos(975/8) + cos|---| + cos(985/8) + cos|---| + cos(995/8) + cos|---| + cos(1005/8) + cos|----| + cos(1015/8) + cos(1025/8) + cos|----| + cos(1035/8) + cos|----| + cos(1045/8) + cos|----| + cos(1055/8) + cos|----| + cos(1065/8) + cos|----| + cos(1075/8) + cos|----| + cos(1085/8) + cos(1095/8) + cos|----| + cos(1105/8) + cos|----| + cos(1115/8) + cos|----| + cos(1125/8) + cos|----| + cos(1135/8) + cos|----| + cos(1145/8) + cos|----| + cos(1155/8) + cos(1165/8) + cos|----| + cos(1175/8) + cos|----| + cos(1185/8) + cos|----| + cos(1195/8) + cos|----| + cos(1205/8) + cos|----| + cos(1215/8) + cos|----| + cos(1225/8) + cos(1235/8) + cos|----| + cos(1245/8) + cos|----| + cos(1255/8) + cos|----| + cos(1265/8) + cos|----| + cos(1275/8) + cos|----| + cos(1285/8) + cos|----| + cos(1295/8) + cos(1305/8) + cos|----| + cos(1315/8) + cos|----| + cos(1325/8) + cos|----| + cos(1335/8) + cos|----| + cos(1345/8) + cos|----| + cos(1355/8) + cos|----| + cos(1365/8) + cos(1375/8) + cos|----| + cos(1385/8) + cos|----| + cos(1395/8) + cos|----| + cos(1405/8) + cos|----| + cos(1415/8) + cos|----| + cos(1425/8) + cos|----| + cos(1435/8) + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + 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cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + cos|----| + 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                                      \56/                  \56/                              \56/                  \56/                  \56/                  \56/                  \56/                  \56/                                \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/                                \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/                                \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/                                \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/                                \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/        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             \ 56/                   \ 56/                   \ 56/                   \ 56/                                \ 56/                   \ 56/                   \ 56/                   \ 56/                   \ 56/                    \ 56 /                                  \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                                  \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                                  \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                                  \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                    \ 56 /                                  \ 56 /                    \ 56 /      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$$\cos{\left(\frac{7565}{56} \right)} + \cos{\left(\frac{1935}{56} \right)} + \cos{\left(\frac{3695}{56} \right)} + \cos{\left(\frac{5805}{56} \right)} + \cos{\left(\frac{9325}{56} \right)} + \cos{\left(\frac{25}{8} \right)} + \cos{\left(\frac{9675}{56} \right)} + \cos{\left(\frac{5455}{56} \right)} + \cos{\left(\frac{4045}{56} \right)} + \cos{\left(\frac{1585}{56} \right)} + \cos{\left(\frac{7915}{56} \right)} + \cos{\left(\frac{7215}{56} \right)} + \cos{\left(\frac{2285}{56} \right)} + \cos{\left(\frac{3345}{56} \right)} + \cos{\left(\frac{6155}{56} \right)} + \cos{\left(\frac{8975}{56} \right)} + \cos{\left(\frac{75}{8} \right)} + \cos{\left(\frac{10025}{56} \right)} + \cos{\left(\frac{5105}{56} \right)} + \cos{\left(\frac{4395}{56} \right)} + \cos{\left(\frac{1235}{56} \right)} + \cos{\left(\frac{8265}{56} \right)} + \cos{\left(\frac{6865}{56} \right)} + \cos{\left(\frac{2635}{56} \right)} + \cos{\left(\frac{2995}{56} \right)} + \cos{\left(\frac{6505}{56} \right)} + \cos{\left(\frac{8625}{56} \right)} + \cos{\left(\frac{125}{8} \right)} + \cos{\left(\frac{4755}{56} \right)} + \cos{\left(\frac{4745}{56} \right)} + \cos{\left(\frac{885}{56} \right)} + \cos{\left(\frac{8615}{56} \right)} + \cos{\left(\frac{6515}{56} \right)} + \cos{\left(\frac{2985}{56} \right)} + \cos{\left(\frac{2645}{56} \right)} + \cos{\left(\frac{6855}{56} \right)} + \cos{\left(\frac{8275}{56} \right)} + \cos{\left(\frac{175}{8} \right)} + \cos{\left(\frac{4405}{56} \right)} + \cos{\left(\frac{5095}{56} \right)} + \cos{\left(\frac{10035}{56} \right)} + \cos{\left(\frac{535}{56} \right)} + \cos{\left(\frac{8965}{56} \right)} + \cos{\left(\frac{6165}{56} \right)} + \cos{\left(\frac{3335}{56} \right)} + \cos{\left(\frac{2295}{56} \right)} + \cos{\left(\frac{7205}{56} \right)} + \cos{\left(\frac{7925}{56} \right)} + \cos{\left(\frac{225}{8} \right)} + \cos{\left(\frac{4055}{56} \right)} + \cos{\left(\frac{5445}{56} \right)} + \cos{\left(\frac{9685}{56} \right)} + 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\cos{\left(\frac{1245}{56} \right)} + \cos{\left(\frac{8255}{56} \right)} + \cos{\left(\frac{6875}{56} \right)} + \cos{\left(\frac{375}{8} \right)} + \cos{\left(\frac{3005}{56} \right)} + \cos{\left(\frac{6495}{56} \right)} + \cos{\left(\frac{8635}{56} \right)} + \cos{\left(\frac{865}{56} \right)} + \cos{\left(\frac{4765}{56} \right)} + \cos{\left(\frac{4735}{56} \right)} + \cos{\left(\frac{895}{56} \right)} + \cos{\left(\frac{8605}{56} \right)} + \cos{\left(\frac{6525}{56} \right)} + \cos{\left(\frac{425}{8} \right)} + \cos{\left(\frac{2655}{56} \right)} + \cos{\left(\frac{6845}{56} \right)} + \cos{\left(\frac{8285}{56} \right)} + \cos{\left(\frac{1215}{56} \right)} + \cos{\left(\frac{4415}{56} \right)} + \cos{\left(\frac{5085}{56} \right)} + \cos{\left(\frac{1435}{8} \right)} + \cos{\left(\frac{545}{56} \right)} + \cos{\left(\frac{8955}{56} \right)} + \cos{\left(\frac{6175}{56} \right)} + \cos{\left(\frac{475}{8} \right)} + \cos{\left(\frac{2305}{56} \right)} + 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\cos{\left(\frac{7045}{56} \right)} + \cos{\left(\frac{1155}{8} \right)} + \cos{\left(\frac{1415}{56} \right)} + \cos{\left(\frac{4215}{56} \right)} + \cos{\left(\frac{755}{8} \right)} + \cos{\left(\frac{9845}{56} \right)} + \cos{\left(\frac{345}{56} \right)} + \cos{\left(\frac{9155}{56} \right)} + \cos{\left(\frac{5975}{56} \right)} + \cos{\left(\frac{3525}{56} \right)} + \cos{\left(\frac{2105}{56} \right)} + \cos{\left(\frac{7395}{56} \right)} + \cos{\left(\frac{1105}{8} \right)} + \cos{\left(\frac{1765}{56} \right)} + \cos{\left(\frac{3865}{56} \right)} + \cos{\left(\frac{805}{8} \right)} + \cos{\left(\frac{9495}{56} \right)} + \cos{\left(\frac{5}{56} \right)} + \cos{\left(\frac{9505}{56} \right)} + \cos{\left(\frac{5625}{56} \right)} + \cos{\left(\frac{3875}{56} \right)} + \cos{\left(\frac{1755}{56} \right)} + \cos{\left(\frac{7745}{56} \right)} + \cos{\left(\frac{1055}{8} \right)} + \cos{\left(\frac{2115}{56} \right)} + \cos{\left(\frac{3515}{56} \right)} + \cos{\left(\frac{855}{8} \right)} + \cos{\left(\frac{9145}{56} \right)} + \cos{\left(\frac{355}{56} \right)} + \cos{\left(\frac{9855}{56} \right)} + \cos{\left(\frac{5275}{56} \right)} + \cos{\left(\frac{4225}{56} \right)} + \cos{\left(\frac{1405}{56} \right)} + \cos{\left(\frac{8095}{56} \right)} + \cos{\left(\frac{1005}{8} \right)} + \cos{\left(\frac{2465}{56} \right)} + \cos{\left(\frac{3165}{56} \right)} + \cos{\left(\frac{905}{8} \right)} + \cos{\left(\frac{8795}{56} \right)} + \cos{\left(\frac{705}{56} \right)} + \cos{\left(\frac{4925}{56} \right)} + \cos{\left(\frac{4575}{56} \right)} + \cos{\left(\frac{1055}{56} \right)} + \cos{\left(\frac{8445}{56} \right)} + \cos{\left(\frac{955}{8} \right)} + \cos{\left(\frac{2815}{56} \right)}$$

cos(5/8) + cos(5/56) + cos(15/8) + cos(15/56) + cos(25/8) + cos(25/56) + cos(35/8) + cos(45/8) + cos(45/56) + cos(55/8) + cos(55/56) + cos(65/8) + cos(65/56) + cos(75/8) + cos(75/56) + cos(85/8) + cos(85/56) + cos(95/8) + cos(95/56) + cos(105/8) + cos(115/8) + cos(115/56) + cos(125/8) + cos(125/56) + cos(135/8) + cos(135/56) + cos(145/8) + cos(145/56) + cos(155/8) + cos(155/56) + cos(165/8) + cos(165/56) + cos(175/8) + cos(185/8) + cos(185/56) + cos(195/8) + cos(195/56) + cos(205/8) + cos(205/56) + cos(215/8) + cos(215/56) + cos(225/8) + cos(225/56) + cos(235/8) + cos(235/56) + cos(245/8) + cos(255/8) + cos(255/56) + cos(265/8) + cos(265/56) + cos(275/8) + cos(275/56) + cos(285/8) + cos(285/56) + cos(295/8) + cos(295/56) + cos(305/8) + cos(305/56) + cos(315/8) + cos(325/8) + cos(325/56) + cos(335/8) + cos(335/56) + cos(345/8) + cos(345/56) + cos(355/8) + cos(355/56) + cos(365/8) + cos(365/56) + cos(375/8) + cos(375/56) + cos(385/8) + cos(395/8) + cos(395/56) + cos(405/8) + cos(405/56) + cos(415/8) + cos(415/56) + cos(425/8) + cos(425/56) + cos(435/8) + cos(435/56) + cos(445/8) + cos(445/56) + cos(455/8) + cos(465/8) + cos(465/56) + cos(475/8) + cos(475/56) + cos(485/8) + cos(485/56) + cos(495/8) + cos(495/56) + cos(505/8) + cos(505/56) + cos(515/8) + cos(515/56) + cos(525/8) + cos(535/8) + cos(535/56) + cos(545/8) + cos(545/56) + cos(555/8) + cos(555/56) + cos(565/8) + cos(565/56) + cos(575/8) + cos(575/56) + cos(585/8) + cos(585/56) + cos(595/8) + cos(605/8) + cos(605/56) + cos(615/8) + cos(615/56) + cos(625/8) + cos(625/56) + cos(635/8) + cos(635/56) + cos(645/8) + cos(645/56) + cos(655/8) + cos(655/56) + cos(665/8) + cos(675/8) + cos(675/56) + cos(685/8) + cos(685/56) + cos(695/8) + cos(695/56) + cos(705/8) + cos(705/56) + cos(715/8) + cos(715/56) + cos(725/8) + cos(725/56) + cos(735/8) + cos(745/8) + cos(745/56) + cos(755/8) + cos(755/56) + cos(765/8) + cos(765/56) + cos(775/8) + cos(775/56) + cos(785/8) + cos(785/56) + cos(795/8) + cos(795/56) + cos(805/8) + cos(815/8) + cos(815/56) + cos(825/8) + cos(825/56) + cos(835/8) + cos(835/56) + cos(845/8) + cos(845/56) + cos(855/8) + cos(855/56) + cos(865/8) + cos(865/56) + cos(875/8) + cos(885/8) + cos(885/56) + cos(895/8) + cos(895/56) + cos(905/8) + cos(905/56) + cos(915/8) + cos(915/56) + cos(925/8) + cos(925/56) + cos(935/8) + cos(935/56) + cos(945/8) + cos(955/8) + cos(955/56) + cos(965/8) + cos(965/56) + cos(975/8) + cos(975/56) + cos(985/8) + cos(985/56) + cos(995/8) + cos(995/56) + cos(1005/8) + cos(1005/56) + cos(1015/8) + cos(1025/8) + cos(1025/56) + cos(1035/8) + cos(1035/56) + cos(1045/8) + cos(1045/56) + cos(1055/8) + cos(1055/56) + cos(1065/8) + cos(1065/56) + cos(1075/8) + cos(1075/56) + cos(1085/8) + cos(1095/8) + cos(1095/56) + cos(1105/8) + cos(1105/56) + cos(1115/8) + cos(1115/56) + cos(1125/8) + cos(1125/56) + cos(1135/8) + cos(1135/56) + cos(1145/8) + cos(1145/56) + cos(1155/8) + cos(1165/8) + cos(1165/56) + cos(1175/8) + cos(1175/56) + cos(1185/8) + cos(1185/56) + cos(1195/8) + cos(1195/56) + cos(1205/8) + cos(1205/56) + cos(1215/8) + cos(1215/56) + cos(1225/8) + cos(1235/8) + cos(1235/56) + cos(1245/8) + cos(1245/56) + cos(1255/8) + cos(1255/56) + cos(1265/8) + cos(1265/56) + cos(1275/8) + cos(1275/56) + cos(1285/8) + cos(1285/56) + cos(1295/8) + cos(1305/8) + cos(1305/56) + cos(1315/8) + cos(1315/56) + cos(1325/8) + cos(1325/56) + cos(1335/8) + cos(1335/56) + cos(1345/8) + cos(1345/56) + cos(1355/8) + cos(1355/56) + cos(1365/8) + cos(1375/8) + cos(1375/56) + cos(1385/8) + cos(1385/56) + cos(1395/8) + cos(1395/56) + cos(1405/8) + cos(1405/56) + cos(1415/8) + cos(1415/56) + cos(1425/8) + cos(1425/56) + cos(1435/8) + cos(1445/56) + cos(1455/56) + cos(1465/56) + cos(1475/56) + cos(1485/56) + cos(1495/56) + cos(1515/56) + cos(1525/56) + cos(1535/56) + cos(1545/56) + cos(1555/56) + cos(1565/56) + cos(1585/56) + cos(1595/56) + cos(1605/56) + cos(1615/56) + cos(1625/56) + cos(1635/56) + cos(1655/56) + cos(1665/56) + cos(1675/56) + cos(1685/56) + cos(1695/56) + cos(1705/56) + cos(1725/56) + cos(1735/56) + cos(1745/56) + cos(1755/56) + cos(1765/56) + cos(1775/56) + cos(1795/56) + cos(1805/56) + cos(1815/56) + cos(1825/56) + cos(1835/56) + cos(1845/56) + cos(1865/56) + cos(1875/56) + cos(1885/56) + cos(1895/56) + cos(1905/56) + cos(1915/56) + cos(1935/56) + cos(1945/56) + cos(1955/56) + cos(1965/56) + cos(1975/56) + cos(1985/56) + cos(2005/56) + cos(2015/56) + cos(2025/56) + cos(2035/56) + cos(2045/56) + cos(2055/56) + cos(2075/56) + cos(2085/56) + cos(2095/56) + cos(2105/56) + cos(2115/56) + cos(2125/56) + cos(2145/56) + cos(2155/56) + cos(2165/56) + cos(2175/56) + cos(2185/56) + cos(2195/56) + cos(2215/56) + cos(2225/56) + cos(2235/56) + cos(2245/56) + cos(2255/56) + cos(2265/56) + cos(2285/56) + cos(2295/56) + cos(2305/56) + cos(2315/56) + cos(2325/56) + cos(2335/56) + cos(2355/56) + cos(2365/56) + cos(2375/56) + cos(2385/56) + cos(2395/56) + cos(2405/56) + cos(2425/56) + cos(2435/56) + cos(2445/56) + cos(2455/56) + cos(2465/56) + cos(2475/56) + cos(2495/56) + cos(2505/56) + cos(2515/56) + cos(2525/56) + cos(2535/56) + cos(2545/56) + cos(2565/56) + cos(2575/56) + cos(2585/56) + cos(2595/56) + cos(2605/56) + cos(2615/56) + cos(2635/56) + cos(2645/56) + cos(2655/56) + cos(2665/56) + cos(2675/56) + cos(2685/56) + cos(2705/56) + cos(2715/56) + cos(2725/56) + cos(2735/56) + cos(2745/56) + cos(2755/56) + cos(2775/56) + cos(2785/56) + cos(2795/56) + cos(2805/56) + cos(2815/56) + cos(2825/56) + cos(2845/56) + cos(2855/56) + cos(2865/56) + cos(2875/56) + cos(2885/56) + cos(2895/56) + cos(2915/56) + cos(2925/56) + cos(2935/56) + cos(2945/56) + cos(2955/56) + cos(2965/56) + cos(2985/56) + cos(2995/56) + cos(3005/56) + cos(3015/56) + cos(3025/56) + cos(3035/56) + cos(3055/56) + cos(3065/56) + cos(3075/56) + cos(3085/56) + cos(3095/56) + cos(3105/56) + cos(3125/56) + cos(3135/56) + cos(3145/56) + cos(3155/56) + cos(3165/56) + cos(3175/56) + cos(3195/56) + cos(3205/56) + cos(3215/56) + cos(3225/56) + cos(3235/56) + cos(3245/56) + cos(3265/56) + cos(3275/56) + cos(3285/56) + cos(3295/56) + cos(3305/56) + cos(3315/56) + cos(3335/56) + cos(3345/56) + cos(3355/56) + cos(3365/56) + cos(3375/56) + cos(3385/56) + cos(3405/56) + cos(3415/56) + cos(3425/56) + cos(3435/56) + cos(3445/56) + cos(3455/56) + cos(3475/56) + cos(3485/56) + cos(3495/56) + cos(3505/56) + cos(3515/56) + cos(3525/56) + cos(3545/56) + cos(3555/56) + cos(3565/56) + cos(3575/56) + cos(3585/56) + cos(3595/56) + cos(3615/56) + cos(3625/56) + cos(3635/56) + cos(3645/56) + cos(3655/56) + cos(3665/56) + cos(3685/56) + cos(3695/56) + cos(3705/56) + cos(3715/56) + cos(3725/56) + cos(3735/56) + cos(3755/56) + cos(3765/56) + cos(3775/56) + cos(3785/56) + cos(3795/56) + cos(3805/56) + cos(3825/56) + cos(3835/56) + cos(3845/56) + cos(3855/56) + cos(3865/56) + cos(3875/56) + cos(3895/56) + cos(3905/56) + cos(3915/56) + cos(3925/56) + cos(3935/56) + cos(3945/56) + cos(3965/56) + cos(3975/56) + cos(3985/56) + cos(3995/56) + cos(4005/56) + cos(4015/56) + cos(4035/56) + cos(4045/56) + cos(4055/56) + cos(4065/56) + cos(4075/56) + cos(4085/56) + cos(4105/56) + cos(4115/56) + cos(4125/56) + cos(4135/56) + cos(4145/56) + cos(4155/56) + cos(4175/56) + cos(4185/56) + cos(4195/56) + cos(4205/56) + cos(4215/56) + cos(4225/56) + cos(4245/56) + cos(4255/56) + cos(4265/56) + cos(4275/56) + cos(4285/56) + cos(4295/56) + cos(4315/56) + cos(4325/56) + cos(4335/56) + cos(4345/56) + cos(4355/56) + cos(4365/56) + cos(4385/56) + cos(4395/56) + cos(4405/56) + cos(4415/56) + cos(4425/56) + cos(4435/56) + cos(4455/56) + cos(4465/56) + cos(4475/56) + cos(4485/56) + cos(4495/56) + cos(4505/56) + cos(4525/56) + cos(4535/56) + cos(4545/56) + cos(4555/56) + cos(4565/56) + cos(4575/56) + cos(4595/56) + cos(4605/56) + cos(4615/56) + cos(4625/56) + cos(4635/56) + cos(4645/56) + cos(4665/56) + cos(4675/56) + cos(4685/56) + cos(4695/56) + cos(4705/56) + cos(4715/56) + cos(4735/56) + cos(4745/56) + cos(4755/56) + cos(4765/56) + cos(4775/56) + cos(4785/56) + cos(4805/56) + cos(4815/56) + cos(4825/56) + cos(4835/56) + cos(4845/56) + cos(4855/56) + cos(4875/56) + cos(4885/56) + cos(4895/56) + cos(4905/56) + cos(4915/56) + cos(4925/56) + cos(4945/56) + cos(4955/56) + cos(4965/56) + cos(4975/56) + cos(4985/56) + cos(4995/56) + cos(5015/56) + cos(5025/56) + cos(5035/56) + cos(5045/56) + cos(5055/56) + cos(5065/56) + cos(5085/56) + cos(5095/56) + cos(5105/56) + cos(5115/56) + cos(5125/56) + cos(5135/56) + cos(5155/56) + cos(5165/56) + cos(5175/56) + cos(5185/56) + cos(5195/56) + cos(5205/56) + cos(5225/56) + cos(5235/56) + cos(5245/56) + cos(5255/56) + cos(5265/56) + cos(5275/56) + cos(5295/56) + cos(5305/56) + cos(5315/56) + cos(5325/56) + cos(5335/56) + cos(5345/56) + cos(5365/56) + cos(5375/56) + cos(5385/56) + cos(5395/56) + cos(5405/56) + cos(5415/56) + cos(5435/56) + cos(5445/56) + cos(5455/56) + cos(5465/56) + cos(5475/56) + cos(5485/56) + cos(5505/56) + cos(5515/56) + cos(5525/56) + cos(5535/56) + cos(5545/56) + cos(5555/56) + cos(5575/56) + cos(5585/56) + cos(5595/56) + cos(5605/56) + cos(5615/56) + cos(5625/56) + cos(5645/56) + cos(5655/56) + cos(5665/56) + cos(5675/56) + cos(5685/56) + cos(5695/56) + cos(5715/56) + cos(5725/56) + cos(5735/56) + cos(5745/56) + cos(5755/56) + cos(5765/56) + cos(5785/56) + cos(5795/56) + cos(5805/56) + cos(5815/56) + cos(5825/56) + cos(5835/56) + cos(5855/56) + cos(5865/56) + cos(5875/56) + cos(5885/56) + cos(5895/56) + cos(5905/56) + cos(5925/56) + cos(5935/56) + cos(5945/56) + cos(5955/56) + cos(5965/56) + cos(5975/56) + cos(5995/56) + cos(6005/56) + cos(6015/56) + cos(6025/56) + cos(6035/56) + cos(6045/56) + cos(6065/56) + cos(6075/56) + cos(6085/56) + cos(6095/56) + cos(6105/56) + cos(6115/56) + cos(6135/56) + cos(6145/56) + cos(6155/56) + cos(6165/56) + cos(6175/56) + cos(6185/56) + cos(6205/56) + cos(6215/56) + cos(6225/56) + cos(6235/56) + cos(6245/56) + cos(6255/56) + cos(6275/56) + cos(6285/56) + cos(6295/56) + cos(6305/56) + cos(6315/56) + cos(6325/56) + cos(6345/56) + cos(6355/56) + cos(6365/56) + cos(6375/56) + cos(6385/56) + cos(6395/56) + cos(6415/56) + cos(6425/56) + cos(6435/56) + cos(6445/56) + cos(6455/56) + cos(6465/56) + cos(6485/56) + cos(6495/56) + cos(6505/56) + cos(6515/56) + cos(6525/56) + cos(6535/56) + cos(6555/56) + cos(6565/56) + cos(6575/56) + cos(6585/56) + cos(6595/56) + cos(6605/56) + cos(6625/56) + cos(6635/56) + cos(6645/56) + cos(6655/56) + cos(6665/56) + cos(6675/56) + cos(6695/56) + cos(6705/56) + cos(6715/56) + cos(6725/56) + cos(6735/56) + cos(6745/56) + cos(6765/56) + cos(6775/56) + cos(6785/56) + cos(6795/56) + cos(6805/56) + cos(6815/56) + cos(6835/56) + cos(6845/56) + cos(6855/56) + cos(6865/56) + cos(6875/56) + cos(6885/56) + cos(6905/56) + cos(6915/56) + cos(6925/56) + cos(6935/56) + cos(6945/56) + cos(6955/56) + cos(6975/56) + cos(6985/56) + cos(6995/56) + cos(7005/56) + cos(7015/56) + cos(7025/56) + cos(7045/56) + cos(7055/56) + cos(7065/56) + cos(7075/56) + 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cos(7855/56) + cos(7865/56) + cos(7885/56) + cos(7895/56) + cos(7905/56) + cos(7915/56) + cos(7925/56) + cos(7935/56) + cos(7955/56) + cos(7965/56) + cos(7975/56) + cos(7985/56) + cos(7995/56) + cos(8005/56) + cos(8025/56) + cos(8035/56) + cos(8045/56) + cos(8055/56) + cos(8065/56) + cos(8075/56) + cos(8095/56) + cos(8105/56) + cos(8115/56) + cos(8125/56) + cos(8135/56) + cos(8145/56) + cos(8165/56) + cos(8175/56) + cos(8185/56) + cos(8195/56) + cos(8205/56) + cos(8215/56) + cos(8235/56) + cos(8245/56) + cos(8255/56) + cos(8265/56) + cos(8275/56) + cos(8285/56) + cos(8305/56) + cos(8315/56) + cos(8325/56) + cos(8335/56) + cos(8345/56) + cos(8355/56) + cos(8375/56) + cos(8385/56) + cos(8395/56) + cos(8405/56) + cos(8415/56) + cos(8425/56) + cos(8445/56) + cos(8455/56) + cos(8465/56) + cos(8475/56) + cos(8485/56) + cos(8495/56) + cos(8515/56) + cos(8525/56) + cos(8535/56) + cos(8545/56) + cos(8555/56) + cos(8565/56) + cos(8585/56) + cos(8595/56) + cos(8605/56) + cos(8615/56) + cos(8625/56) + cos(8635/56) + cos(8655/56) + cos(8665/56) + cos(8675/56) + cos(8685/56) + cos(8695/56) + cos(8705/56) + cos(8725/56) + cos(8735/56) + cos(8745/56) + cos(8755/56) + cos(8765/56) + cos(8775/56) + cos(8795/56) + cos(8805/56) + cos(8815/56) + cos(8825/56) + cos(8835/56) + cos(8845/56) + cos(8865/56) + cos(8875/56) + cos(8885/56) + cos(8895/56) + cos(8905/56) + cos(8915/56) + cos(8935/56) + cos(8945/56) + cos(8955/56) + cos(8965/56) + cos(8975/56) + cos(8985/56) + cos(9005/56) + cos(9015/56) + cos(9025/56) + cos(9035/56) + cos(9045/56) + cos(9055/56) + cos(9075/56) + cos(9085/56) + cos(9095/56) + cos(9105/56) + cos(9115/56) + cos(9125/56) + cos(9145/56) + cos(9155/56) + cos(9165/56) + cos(9175/56) + cos(9185/56) + cos(9195/56) + cos(9215/56) + cos(9225/56) + cos(9235/56) + cos(9245/56) + cos(9255/56) + cos(9265/56) + cos(9285/56) + cos(9295/56) + cos(9305/56) + cos(9315/56) + cos(9325/56) + cos(9335/56) + cos(9355/56) + cos(9365/56) + cos(9375/56) + cos(9385/56) + cos(9395/56) + cos(9405/56) + cos(9425/56) + cos(9435/56) + cos(9445/56) + cos(9455/56) + cos(9465/56) + cos(9475/56) + cos(9495/56) + cos(9505/56) + cos(9515/56) + cos(9525/56) + cos(9535/56) + cos(9545/56) + cos(9565/56) + cos(9575/56) + cos(9585/56) + cos(9595/56) + cos(9605/56) + cos(9615/56) + cos(9635/56) + cos(9645/56) + cos(9655/56) + cos(9665/56) + cos(9675/56) + cos(9685/56) + cos(9705/56) + cos(9715/56) + cos(9725/56) + cos(9735/56) + cos(9745/56) + cos(9755/56) + cos(9775/56) + cos(9785/56) + cos(9795/56) + cos(9805/56) + cos(9815/56) + cos(9825/56) + cos(9845/56) + cos(9855/56) + cos(9865/56) + cos(9875/56) + cos(9885/56) + cos(9895/56) + cos(9915/56) + cos(9925/56) + cos(9935/56) + cos(9945/56) + cos(9955/56) + cos(9965/56) + cos(9985/56) + cos(9995/56) + cos(10005/56) + cos(10015/56) + cos(10025/56) + cos(10035/56) + cos(10055/56) + cos(10065/56) + cos(10075/56)

Respuesta numérica [src]

-4.49242126592951115834380709948

-4.49242126592951115834380709948

Gráfico

Suma de la serie cos(360×n/2016-180/2016)

Ejemplos de hallazgo de la suma de la serie

Suma de la serie de potencias
```
x^n/n
```
```
(x-1)^n
```
Factorial
```
1/2^(n!)
```
```
n^2/n!
```
```
x^n/n!
```
```
k!/(n!*(n+k)!)
```
Serie de Flint Hills
```
csc(n)^2/n^3
```
Serie de cuadrados inversos
```
1/n^2
```
```
1/n^4
```
```
1/n^6
```
Serie armónica
```
1/n
```
Serie de Grandi
```
(-1)^n
```
Serie alternada
```
(-1)^(n + 1)/n
```
```
(n + 2)*(-1)^(n - 1)
```
```
(3*n - 1)/(-5)^n
```
```
(-1)^(n - 1)*n/(6*n - 5)
```
Serie de Newton-Mercator
```
(-1)^(n + 1)/n*x^n
```
Investigar la convergencia de la serie
```
(3*n - 1)/(-5)^n
```

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Suma de la serie cos(360×n/2016-180/2016)

Solución

Ejemplos de hallazgo de la suma de la serie