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

  • ¿Cómo usar?

  • Suma de la serie:
  • (x-1)^n
  • (nx)^n
  • (4/9)^n (4/9)^n
  • (n+1)/5^n (n+1)/5^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^n*0,91^n*0,91/(4*n^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

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