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-1^(n+1)*(0,55^n*0,55^n*0,55/(4*n^2-1))
  • ¿Cómo usar?

  • Suma de la serie:
  • 4n 4n
  • 1/(n+1)^3 1/(n+1)^3
  • 2/((7-4n)(3-4n)) 2/((7-4n)(3-4n))
  • (x-2)^n/n
  • Expresiones idénticas

  • - uno ^(n+ uno)*(cero , cincuenta y cinco ^n* cero , cincuenta y cinco ^n* cero , cincuenta y cinco /(cuatro *n^ dos - uno))
  • menos 1 en el grado (n más 1) multiplicar por (0,55 en el grado n multiplicar por 0,55 en el grado n multiplicar por 0,55 dividir por (4 multiplicar por n al cuadrado menos 1))
  • menos uno en el grado (n más uno) multiplicar por (cero , cincuenta y cinco en el grado n multiplicar por cero , cincuenta y cinco en el grado n multiplicar por cero , cincuenta y cinco dividir por (cuatro multiplicar por n en el grado dos menos uno))
  • -1(n+1)*(0,55n*0,55n*0,55/(4*n2-1))
  • -1n+1*0,55n*0,55n*0,55/4*n2-1
  • -1^(n+1)*(0,55^n*0,55^n*0,55/(4*n²-1))
  • -1 en el grado (n+1)*(0,55 en el grado n*0,55 en el grado n*0,55/(4*n en el grado 2-1))
  • -1^(n+1)(0,55^n0,55^n0,55/(4n^2-1))
  • -1(n+1)(0,55n0,55n0,55/(4n2-1))
  • -1n+10,55n0,55n0,55/4n2-1
  • -1^n+10,55^n0,55^n0,55/4n^2-1
  • -1^(n+1)*(0,55^n*0,55^n*0,55 dividir por (4*n^2-1))
  • Expresiones semejantes

  • -1^(n+1)*(0,55^n*0,55^n*0,55/(4*n^2+1))
  • 1^(n+1)*(0,55^n*0,55^n*0,55/(4*n^2-1))
  • -1^(n-1)*(0,55^n*0,55^n*0,55/(4*n^2-1))
  • (-1)^(n+1)*(0,55^n*0,55^n*0,55/(4*n^2-1))

Suma de la serie -1^(n+1)*(0,55^n*0,55^n*0,55/(4*n^2-1))



=

Solución

Ha introducido [src]
  161                           
______                          
\     `                         
 \              /    n     n   \
  \             |/11\  /11\    |
   \            ||--| *|--| *11|
    \           |\20/  \20/    |
     )          |--------------|
    /     n + 1 \      20      /
   /    -1     *----------------
  /                    2        
 /                  4*n  - 1    
/_____,                         
 n = 0                          
$$\sum_{n=0}^{161} - 1^{n + 1} \frac{\frac{11}{20} \left(\frac{11}{20}\right)^{n} \left(\frac{11}{20}\right)^{n}}{4 n^{2} - 1}$$
Sum((-1^(n + 1))*((((11/20)^n*(11/20)^n)*11/20)/(4*n^2 - 1)), (n, 0, 161))
Velocidad de la convergencia de la serie
Respuesta [src]
3488437790115739986312949554059691904721289690936930738524203696533223250576922568971442568723854786740117131769025598986880536428043097575682516637346939141411255518720169482308735153398171245024922469184432767797454924296293435201900199688528226428519673383524524104921846389897957772000953767989461584054574993729416902286678483909437968671661766307792419771721214366113193136654796604829392585372778707944344479516304523552719320489185355575581114198738884734304495627331475428607407829814468471771516533790688544746779415000002628285250176564987
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
7109677486173501290429749910191497745496024957354282411866044335365068911275033778106543268948071464548032775884000609214528147836280287948348496996000850778056942936724103644191027240793372268295532124989086890180660037890867200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
$$\frac{3488437790115739986312949554059691904721289690936930738524203696533223250576922568971442568723854786740117131769025598986880536428043097575682516637346939141411255518720169482308735153398171245024922469184432767797454924296293435201900199688528226428519673383524524104921846389897957772000953767989461584054574993729416902286678483909437968671661766307792419771721214366113193136654796604829392585372778707944344479516304523552719320489185355575581114198738884734304495627331475428607407829814468471771516533790688544746779415000002628285250176564987}{7109677486173501290429749910191497745496024957354282411866044335365068911275033778106543268948071464548032775884000609214528147836280287948348496996000850778056942936724103644191027240793372268295532124989086890180660037890867200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$
3488437790115739986312949554059691904721289690936930738524203696533223250576922568971442568723854786740117131769025598986880536428043097575682516637346939141411255518720169482308735153398171245024922469184432767797454924296293435201900199688528226428519673383524524104921846389897957772000953767989461584054574993729416902286678483909437968671661766307792419771721214366113193136654796604829392585372778707944344479516304523552719320489185355575581114198738884734304495627331475428607407829814468471771516533790688544746779415000002628285250176564987/7109677486173501290429749910191497745496024957354282411866044335365068911275033778106543268948071464548032775884000609214528147836280287948348496996000850778056942936724103644191027240793372268295532124989086890180660037890867200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Respuesta numérica [src]
0.490660483109094121759806252715
0.490660483109094121759806252715
Gráfico
Suma de la serie -1^(n+1)*(0,55^n*0,55^n*0,55/(4*n^2-1))

    Ejemplos de hallazgo de la suma de la serie