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sqrt(1+0.242*i)

Suma de la serie sqrt(1+0.242*i)



=

Solución

Ha introducido [src]
  32                 
____                 
\   `                
 \        ___________
  \      /     121*i 
  /     /  1 + ----- 
 /    \/        500  
/___,                
i = 1                
$$\sum_{i=1}^{32} \sqrt{\frac{121 i}{500} + 1}$$
Sum(sqrt(1 + 121*i/500), (i, 1, 32))
Velocidad de la convergencia de la serie
Respuesta [src]
  _____     _____     _____     _____     _____     ______     ______     ______     ______     ______     ______     ______     ______     ______     ______     ______     _______     _______     _______     _______     _______     _______     _______     _______     _______     _______       _____       ____       _____       ______       _____        ____
\/ 146    \/ 221    \/ 463    \/ 705    \/ 826    \/ 1230    \/ 1835    \/ 3045    \/ 4255    \/ 5465    \/ 3710    \/ 4315    \/ 6130    \/ 6735    \/ 7945    \/ 9155    \/ 10365    \/ 10970    \/ 12785    \/ 13390    \/ 15205    \/ 15810    \/ 18230    \/ 18835    \/ 20045    \/ 21255    2*\/ 610    3*\/ 38    3*\/ 345    3*\/ 1555    7*\/ 335    18*\/ 15 
------- + ------- + ------- + ------- + ------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + -------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + --------- + -------- + --------- + ---------- + --------- + ---------
   5         10        10        10        10        25         25         25         25         25         50         50         50         50         50         50          50          50          50          50          50          50          50          50          50          50          25         10          50          50           50          25   
$$\frac{3 \sqrt{345}}{50} + \frac{\sqrt{3710}}{50} + \frac{\sqrt{4315}}{50} + \frac{\sqrt{1230}}{25} + \frac{\sqrt{221}}{10} + \frac{\sqrt{6130}}{50} + \frac{\sqrt{6735}}{50} + \frac{\sqrt{1835}}{25} + \frac{\sqrt{7945}}{50} + \frac{3 \sqrt{38}}{10} + \frac{\sqrt{9155}}{50} + \frac{2 \sqrt{610}}{25} + \frac{\sqrt{10365}}{50} + \frac{\sqrt{10970}}{50} + \frac{\sqrt{463}}{10} + \frac{\sqrt{3045}}{25} + \frac{\sqrt{12785}}{50} + \frac{\sqrt{13390}}{50} + \frac{3 \sqrt{1555}}{50} + \frac{\sqrt{146}}{5} + \frac{\sqrt{15205}}{50} + \frac{\sqrt{15810}}{50} + \frac{7 \sqrt{335}}{50} + \frac{\sqrt{4255}}{25} + \frac{\sqrt{705}}{10} + \frac{\sqrt{18230}}{50} + \frac{\sqrt{18835}}{50} + \frac{18 \sqrt{15}}{25} + \frac{\sqrt{20045}}{50} + \frac{\sqrt{826}}{10} + \frac{\sqrt{21255}}{50} + \frac{\sqrt{5465}}{25}$$
sqrt(146)/5 + sqrt(221)/10 + sqrt(463)/10 + sqrt(705)/10 + sqrt(826)/10 + sqrt(1230)/25 + sqrt(1835)/25 + sqrt(3045)/25 + sqrt(4255)/25 + sqrt(5465)/25 + sqrt(3710)/50 + sqrt(4315)/50 + sqrt(6130)/50 + sqrt(6735)/50 + sqrt(7945)/50 + sqrt(9155)/50 + sqrt(10365)/50 + sqrt(10970)/50 + sqrt(12785)/50 + sqrt(13390)/50 + sqrt(15205)/50 + sqrt(15810)/50 + sqrt(18230)/50 + sqrt(18835)/50 + sqrt(20045)/50 + sqrt(21255)/50 + 2*sqrt(610)/25 + 3*sqrt(38)/10 + 3*sqrt(345)/50 + 3*sqrt(1555)/50 + 7*sqrt(335)/50 + 18*sqrt(15)/25
Respuesta numérica [src]
69.4463129239884817914954197781
69.4463129239884817914954197781
Gráfico
Suma de la serie sqrt(1+0.242*i)

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