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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))

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
$$\sum_{n=0}^{161} \left(-1\right)^{n + 1} \frac{\frac{11}{20} \left(\frac{11}{20}\right)^{n} \left(\frac{11}{20}\right)^{n}}{4 n^{2} - 1}$$ 
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] 
273570853668264206873599952706001696402964913460661762205221926671604071871962939576593463391559836069883040240310184910124392225466115838493645803994527335266821759083479015779977702416580160730201205196129921484426672831003781060106183324434630245254137677619347600245884569657123479420358218735835113279280446662646906087510319500714761675618313133390450348518683903415038440881760135614924752299406558764905437790347346767168040748818168161058946605254694285248280367884242938605741919284143937931152863638220120482805160822762378818893730358403411
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
454077112701273859524916918962953368058728051794398205606047000262291931309264506719792600827635263055049659577844424451159201345543636221857775693684343493668431982018969559251284763896935739689573684271893368733104564588668518400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
$$\frac{273570853668264206873599952706001696402964913460661762205221926671604071871962939576593463391559836069883040240310184910124392225466115838493645803994527335266821759083479015779977702416580160730201205196129921484426672831003781060106183324434630245254137677619347600245884569657123479420358218735835113279280446662646906087510319500714761675618313133390450348518683903415038440881760135614924752299406558764905437790347346767168040748818168161058946605254694285248280367884242938605741919284143937931152863638220120482805160822762378818893730358403411}{454077112701273859524916918962953368058728051794398205606047000262291931309264506719792600827635263055049659577844424451159201345543636221857775693684343493668431982018969559251284763896935739689573684271893368733104564588668518400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$ 
273570853668264206873599952706001696402964913460661762205221926671604071871962939576593463391559836069883040240310184910124392225466115838493645803994527335266821759083479015779977702416580160730201205196129921484426672831003781060106183324434630245254137677619347600245884569657123479420358218735835113279280446662646906087510319500714761675618313133390450348518683903415038440881760135614924752299406558764905437790347346767168040748818168161058946605254694285248280367884242938605741919284143937931152863638220120482805160822762378818893730358403411/454077112701273859524916918962953368058728051794398205606047000262291931309264506719792600827635263055049659577844424451159201345543636221857775693684343493668431982018969559251284763896935739689573684271893368733104564588668518400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Respuesta numérica [src] 
0.602476641116769363799236921546
0.602476641116769363799236921546
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

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