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Suma de la serie:
(5^n-4^n)/6^n
(4^(n+1)-10^n)/20^n
2n+1/n^2(n+1)^2
(1+(-3)^n)/(6^n)
Expresiones idénticas
(- uno)^n*(cero , ochenta y dos ^(dos *n+ uno)/(cuatro *n^ dos - uno))
( menos 1) en el grado n multiplicar por (0,82 en el grado (2 multiplicar por n más 1) dividir por (4 multiplicar por n al cuadrado menos 1))
( menos uno) en el grado n multiplicar por (cero , ochenta y dos en el grado (dos multiplicar por n más uno) dividir por (cuatro multiplicar por n en el grado dos menos uno))
(-1)n*(0,82(2*n+1)/(4*n2-1))
-1n*0,822*n+1/4*n2-1
(-1)^n*(0,82^(2*n+1)/(4*n²-1))
(-1) en el grado n*(0,82 en el grado (2*n+1)/(4*n en el grado 2-1))
(-1)^n(0,82^(2n+1)/(4n^2-1))
(-1)n(0,82(2n+1)/(4n2-1))
-1n0,822n+1/4n2-1
-1^n0,82^2n+1/4n^2-1
(-1)^n*(0,82^(2*n+1) dividir por (4*n^2-1))
Expresiones semejantes
(-1)^n*(0,82^(2*n-1)/(4*n^2-1))
(-1)^n*(0,82^(2*n+1)/(4*n^2+1))
(1)^n*(0,82^(2*n+1)/(4*n^2-1))

Suma de la serie/ (-1)^n*(0,82^(2*n+1)/(4*n^2-1))

Suma de la serie (-1)^n(0,82^(2n+1)/(4*n^2-1))

Solución

Ha introducido [src]

 160                    
_____                   
\    `                  
 \               2*n + 1
  \          /41\       
   \         |--|       
    )      n \50/       
   /   (-1) *-----------
  /               2     
 /             4*n  - 1 
/____,                  
n = 0

$$\sum_{n=0}^{160} \left(-1\right)^{n} \frac{\left(\frac{41}{50}\right)^{2 n + 1}}{4 n^{2} - 1}$$

Sum((-1)^n*((41/50)^(2*n + 1)/(4*n^2 - 1)), (n, 0, 160))

Velocidad de la convergencia de la serie

Respuesta [src]

-3587127331813208778424178971282658010463618845316795648058701152683654228119657237545317996481668273007309866193045222379793872953284837721688333398864759991809672715933062865855608077014746246393024917988668537591410301733678383827737211444355632359213208044542258762445257083116807866780866738066874517106840789008064443942190754539312447337460623724062986178572957548293671983183513947569639114942929876248128602190406766795536846598272510774072691949028981184687644380135723504779123217830237886478091383134009161502107288832512680693842589105480466726814554504953834671072158771682384565496116213719799137414183555867090335212457615447189538188443554736626611104253870569 
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
 3644280885111759619264432802402229171960218058786532672844386224764148852505587133594030228663558756161155508132143448332497988029905342549859526771033362685976682399432266375917251084113577524837928670564766648067077231516741645758357821970836086751771420609589581731198203762056748179197456148615994892803250670455794679725158857763744890689849853515625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

$$- \frac{3587127331813208778424178971282658010463618845316795648058701152683654228119657237545317996481668273007309866193045222379793872953284837721688333398864759991809672715933062865855608077014746246393024917988668537591410301733678383827737211444355632359213208044542258762445257083116807866780866738066874517106840789008064443942190754539312447337460623724062986178572957548293671983183513947569639114942929876248128602190406766795536846598272510774072691949028981184687644380135723504779123217830237886478091383134009161502107288832512680693842589105480466726814554504953834671072158771682384565496116213719799137414183555867090335212457615447189538188443554736626611104253870569}{3644280885111759619264432802402229171960218058786532672844386224764148852505587133594030228663558756161155508132143448332497988029905342549859526771033362685976682399432266375917251084113577524837928670564766648067077231516741645758357821970836086751771420609589581731198203762056748179197456148615994892803250670455794679725158857763744890689849853515625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

-3587127331813208778424178971282658010463618845316795648058701152683654228119657237545317996481668273007309866193045222379793872953284837721688333398864759991809672715933062865855608077014746246393024917988668537591410301733678383827737211444355632359213208044542258762445257083116807866780866738066874517106840789008064443942190754539312447337460623724062986178572957548293671983183513947569639114942929876248128602190406766795536846598272510774072691949028981184687644380135723504779123217830237886478091383134009161502107288832512680693842589105480466726814554504953834671072158771682384565496116213719799137414183555867090335212457615447189538188443554736626611104253870569/3644280885111759619264432802402229171960218058786532672844386224764148852505587133594030228663558756161155508132143448332497988029905342549859526771033362685976682399432266375917251084113577524837928670564766648067077231516741645758357821970836086751771420609589581731198203762056748179197456148615994892803250670455794679725158857763744890689849853515625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Respuesta numérica [src]

-0.984316918728179179402516889243

-0.984316918728179179402516889243

Gráfico

Suma de la serie (-1)^n*(0,82^(2*n+1)/(4*n^2-1))

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)!)
```
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```
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

Suma de la serie (-1)^n*(0,82^(2*n+1)/(4*n^2-1))

Solución

Ejemplos de hallazgo de la suma de la serie

Suma de la serie (-1)^n(0,82^(2n+1)/(4*n^2-1))