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Suma de la serie:
n^2/(n+1)
n!/2^n
(nx)^n
(7/10)^n
Expresiones idénticas
- uno ^(n+ uno)*(cero , noventa y uno ^n* cero , noventa y uno ^n* cero , noventa y uno /(cuatro *n^ dos - uno))
menos 1 en el grado (n más 1) multiplicar por (0,91 en el grado n multiplicar por 0,91 en el grado n multiplicar por 0,91 dividir por (4 multiplicar por n al cuadrado menos 1))
menos uno en el grado (n más uno) multiplicar por (cero , noventa y uno en el grado n multiplicar por cero , noventa y uno en el grado n multiplicar por cero , noventa y uno dividir por (cuatro multiplicar por n en el grado dos menos uno))
-1(n+1)*(0,91n*0,91n*0,91/(4*n2-1))
-1n+1*0,91n*0,91n*0,91/4*n2-1
-1^(n+1)*(0,91^n*0,91^n*0,91/(4*n²-1))
-1 en el grado (n+1)*(0,91 en el grado n*0,91 en el grado n*0,91/(4*n en el grado 2-1))
-1^(n+1)(0,91^n0,91^n0,91/(4n^2-1))
-1(n+1)(0,91n0,91n0,91/(4n2-1))
-1n+10,91n0,91n0,91/4n2-1
-1^n+10,91^n0,91^n0,91/4n^2-1
-1^(n+1)*(0,91^n*0,91^n*0,91 dividir por (4*n^2-1))
Expresiones semejantes
1^(n+1)*(0,91^n*0,91^n*0,91/(4*n^2-1))
-1^(n+1)*(0,91^n*0,91^n*0,91/(4*n^2+1))
-1^(n-1)*(0,91^n*0,91^n*0,91/(4*n^2-1))

Suma de la serie/ -1^(n+1)*(0,91^n*0,91^n*0,91/(4*n^2-1))

Suma de la serie -1^(n+1)(0,91^n0,91^n0,91/(4n^2-1))

Solución

Ha introducido [src]

  120                             
______                            
\     `                           
 \              /     n      n   \
  \             |/ 91\  / 91\    |
   \            ||---| *|---| *91|
    \           |\100/  \100/    |
     )          |----------------|
    /     n + 1 \      100       /
   /    -1     *------------------
  /                     2         
 /                   4*n  - 1     
/_____,                           
 n = 0

\sum_{n=0}^{120} - 1^{n + 1} \frac{\frac{91}{100} \left(\frac{91}{100}\right)^{n} \left(\frac{91}{100}\right)^{n}}{4 n^{2} - 1}

Sum((-1^(n + 1))*((((91/100)^n*(91/100)^n)*91/100)/(4*n^2 - 1)), (n, 0, 120))

Velocidad de la convergencia de la serie

Respuesta [src]

2850112403021384760187027167680943867944001088174753122370638509523220000879224484397190860169970312634056065848302339388579105592941104088795257982114721523507806186384301606687569363101138570362797583725930441094776802387595436540757190490430552738853231366565223732112690735423648937797088527110608786217438078915209106557845731115014155703470366944877370313335036457049516337686669951197291563901654130003208493489625311541442550176415903503223818265943934318186189124020495351047198825918093742544219581519052152360824852134947185019489340751991846492327247904521360119499
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
4861261290012804843652628339475700647749136146337161835988597331448932908009096355005343391468900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

\frac{2850112403021384760187027167680943867944001088174753122370638509523220000879224484397190860169970312634056065848302339388579105592941104088795257982114721523507806186384301606687569363101138570362797583725930441094776802387595436540757190490430552738853231366565223732112690735423648937797088527110608786217438078915209106557845731115014155703470366944877370313335036457049516337686669951197291563901654130003208493489625311541442550176415903503223818265943934318186189124020495351047198825918093742544219581519052152360824852134947185019489340751991846492327247904521360119499}{4861261290012804843652628339475700647749136146337161835988597331448932908009096355005343391468900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}

2850112403021384760187027167680943867944001088174753122370638509523220000879224484397190860169970312634056065848302339388579105592941104088795257982114721523507806186384301606687569363101138570362797583725930441094776802387595436540757190490430552738853231366565223732112690735423648937797088527110608786217438078915209106557845731115014155703470366944877370313335036457049516337686669951197291563901654130003208493489625311541442550176415903503223818265943934318186189124020495351047198825918093742544219581519052152360824852134947185019489340751991846492327247904521360119499/4861261290012804843652628339475700647749136146337161835988597331448932908009096355005343391468900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Respuesta numérica [src]

0.586290724359290179015787945737

0.586290724359290179015787945737

Gráfico

Suma de la serie -1^(n+1)*(0,91^n*0,91^n*0,91/(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)!)
```
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

Suma de la serie -1^(n+1)*(0,91^n*0,91^n*0,91/(4*n^2-1))

Solución

Ejemplos de hallazgo de la suma de la serie

Suma de la serie -1^(n+1)(0,91^n0,91^n0,91/(4n^2-1))