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Suma de la serie:
n/(n+1)
2^n+2/3^n
6/(4n^2-1)
((-1)^(n))*(4x)^(2n)
Expresiones idénticas
cos(trescientos sesenta ×n/ dos mil diecisiete - ciento ochenta / dos mil diecisiete)
coseno de (360×n dividir por 2017 menos 180 dividir por 2017)
coseno de (trescientos sesenta ×n dividir por dos mil diecisiete menos ciento ochenta dividir por dos mil diecisiete)
cos360×n/2017-180/2017
cos(360×n dividir por 2017-180 dividir por 2017)
Expresiones semejantes
cos(360×n/2017+180/2017)
Expresiones con funciones
Coseno cos
cos(5/n)
cos(n)/(n^3)
cos(7/(n^2))-cos(7/((n+1)^2))
cos(n)/((n+1)sqrt(n))
cos((n/72)^2)

Suma de la serie/ cos(360×n/2017-180/2017)

Suma de la serie cos(360×n/2017-180/2017)

Solución

Ha introducido [src]

 1008                  
 ___                   
 \  `                  
  \      /360*n   180 \
   )  cos|----- - ----|
  /      \ 2017   2017/
 /__,                  
n = 1

$$\sum_{n=1}^{1008} \cos{\left(\frac{360 n}{2017} - \frac{180}{2017} \right)}$$

Sum(cos((360*n)/2017 - 180/2017), (n, 1, 1008))

Velocidad de la convergencia de la serie

Respuesta [src]

   /180 \      /540 \      /900 \      /1260\      /1620\      /1980\      /2340\      /2700\      /3060\      /3420\      /3780\      /4140\      /4500\      /4860\      /5220\      /5580\      /5940\      /6300\      /6660\      /7020\      /7380\      /7740\      /8100\      /8460\      /8820\      /9180\      /9540\      /9900\      /10260\      /10620\      /10980\      /11340\      /11700\      /12060\      /12420\      /12780\      /13140\      /13500\      /13860\      /14220\      /14580\      /14940\      /15300\      /15660\      /16020\      /16380\      /16740\      /17100\      /17460\      /17820\      /18180\      /18540\      /18900\      /19260\      /19620\      /19980\      /20340\      /20700\      /21060\      /21420\      /21780\      /22140\      /22500\      /22860\      /23220\      /23580\      /23940\      /24300\      /24660\      /25020\      /25380\      /25740\      /26100\      /26460\      /26820\      /27180\      /27540\      /27900\      /28260\      /28620\      /28980\      /29340\      /29700\      /30060\      /30420\      /30780\      /31140\      /31500\      /31860\      /32220\      /32580\      /32940\      /33300\      /33660\      /34020\      /34380\      /34740\      /35100\      /35460\      /35820\      /36180\      /36540\      /36900\      /37260\      /37620\      /37980\      /38340\      /38700\      /39060\      /39420\      /39780\      /40140\      /40500\      /40860\      /41220\      /41580\      /41940\      /42300\      /42660\      /43020\      /43380\      /43740\      /44100\      /44460\      /44820\      /45180\      /45540\      /45900\      /46260\      /46620\      /46980\      /47340\      /47700\      /48060\      /48420\      /48780\      /49140\      /49500\      /49860\      /50220\      /50580\      /50940\      /51300\      /51660\      /52020\      /52380\      /52740\      /53100\      /53460\      /53820\      /54180\      /54540\      /54900\      /55260\      /55620\      /55980\      /56340\      /56700\      /57060\      /57420\      /57780\      /58140\      /58500\      /58860\      /59220\      /59580\      /59940\      /60300\      /60660\      /61020\      /61380\      /61740\      /62100\      /62460\      /62820\      /63180\      /63540\      /63900\      /64260\      /64620\      /64980\      /65340\      /65700\      /66060\      /66420\      /66780\      /67140\      /67500\      /67860\      /68220\      /68580\      /68940\      /69300\      /69660\      /70020\      /70380\      /70740\      /71100\      /71460\      /71820\      /72180\      /72540\      /72900\      /73260\      /73620\      /73980\      /74340\      /74700\      /75060\      /75420\      /75780\      /76140\      /76500\      /76860\      /77220\      /77580\      /77940\      /78300\      /78660\      /79020\      /79380\      /79740\      /80100\      /80460\      /80820\      /81180\      /81540\      /81900\      /82260\      /82620\      /82980\      /83340\      /83700\      /84060\      /84420\      /84780\      /85140\      /85500\      /85860\      /86220\      /86580\      /86940\      /87300\      /87660\      /88020\      /88380\      /88740\      /89100\      /89460\      /89820\      /90180\      /90540\      /90900\      /91260\      /91620\      /91980\      /92340\      /92700\      /93060\      /93420\      /93780\      /94140\      /94500\      /94860\      /95220\      /95580\      /95940\      /96300\      /96660\      /97020\      /97380\      /97740\      /98100\      /98460\      /98820\      /99180\      /99540\      /99900\      /100260\      /100620\      /100980\      /101340\      /101700\      /102060\      /102420\      /102780\      /103140\      /103500\      /103860\      /104220\      /104580\      /104940\      /105300\      /105660\      /106020\      /106380\      /106740\      /107100\      /107460\      /107820\      /108180\      /108540\      /108900\      /109260\      /109620\      /109980\      /110340\      /110700\ 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/341100\      /341460\      /341820\      /342180\      /342540\      /342900\      /343260\      /343620\      /343980\      /344340\      /344700\      /345060\      /345420\      /345780\      /346140\      /346500\      /346860\      /347220\      /347580\      /347940\      /348300\      /348660\      /349020\      /349380\      /349740\      /350100\      /350460\      /350820\      /351180\      /351540\      /351900\      /352260\      /352620\      /352980\      /353340\      /353700\      /354060\      /354420\      /354780\      /355140\      /355500\      /355860\      /356220\      /356580\      /356940\      /357300\      /357660\      /358020\      /358380\      /358740\      /359100\      /359460\      /359820\      /360180\      /360540\      /360900\      /361260\      /361620\      /361980\      /362340\      /362700\
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cos(249660/2017) + cos(250020/2017) + cos(250380/2017) + cos(250740/2017) + cos(251100/2017) + cos(251460/2017) + cos(251820/2017) + cos(252180/2017) + cos(252540/2017) + cos(252900/2017) + cos(253260/2017) + cos(253620/2017) + cos(253980/2017) + cos(254340/2017) + cos(254700/2017) + cos(255060/2017) + cos(255420/2017) + cos(255780/2017) + cos(256140/2017) + cos(256500/2017) + cos(256860/2017) + cos(257220/2017) + cos(257580/2017) + cos(257940/2017) + cos(258300/2017) + cos(258660/2017) + cos(259020/2017) + cos(259380/2017) + cos(259740/2017) + cos(260100/2017) + cos(260460/2017) + cos(260820/2017) + cos(261180/2017) + cos(261540/2017) + cos(261900/2017) + cos(262260/2017) + cos(262620/2017) + cos(262980/2017) + cos(263340/2017) + cos(263700/2017) + cos(264060/2017) + cos(264420/2017) + cos(264780/2017) + cos(265140/2017) + cos(265500/2017) + cos(265860/2017) + cos(266220/2017) + cos(266580/2017) + cos(266940/2017) + cos(267300/2017) + cos(267660/2017) + cos(268020/2017) + cos(268380/2017) + cos(268740/2017) + cos(269100/2017) + cos(269460/2017) + cos(269820/2017) + cos(270180/2017) + cos(270540/2017) + cos(270900/2017) + cos(271260/2017) + cos(271620/2017) + cos(271980/2017) + cos(272340/2017) + cos(272700/2017) + cos(273060/2017) + cos(273420/2017) + cos(273780/2017) + cos(274140/2017) + cos(274500/2017) + cos(274860/2017) + cos(275220/2017) + cos(275580/2017) + cos(275940/2017) + cos(276300/2017) + cos(276660/2017) + cos(277020/2017) + cos(277380/2017) + cos(277740/2017) + cos(278100/2017) + cos(278460/2017) + cos(278820/2017) + cos(279180/2017) + cos(279540/2017) + cos(279900/2017) + cos(280260/2017) + cos(280620/2017) + cos(280980/2017) + cos(281340/2017) + cos(281700/2017) + cos(282060/2017) + cos(282420/2017) + cos(282780/2017) + cos(283140/2017) + cos(283500/2017) + cos(283860/2017) + cos(284220/2017) + cos(284580/2017) + cos(284940/2017) + cos(285300/2017) + cos(285660/2017) + cos(286020/2017) + cos(286380/2017) + cos(286740/2017) + 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cos(361980/2017) + cos(362340/2017) + cos(362700/2017)

Respuesta numérica [src]

-4.17752781462797089705863676775

-4.17752781462797089705863676775

Gráfico

Suma de la serie cos(360×n/2017-180/2017)

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
```

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

Suma de la serie cos(360×n/2017-180/2017)

Solución

Ejemplos de hallazgo de la suma de la serie