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(-1)^(n+1)*(0,19^(2*n+1)/(4*n^2-1))

  • ¿Cómo usar?

  • Suma de la serie:
  • (2n+1)/(n^2(n+1)^2) (2n+1)/(n^2(n+1)^2)
  • (4/5)^n (4/5)^n
  • 1/2n 1/2n
  • (5/7)^n (5/7)^n

  • Expresiones idénticas

  • (- uno)^(n+ uno)*(cero , diecinueve ^(dos *n+ uno)/(cuatro *n^ dos - uno))
  • ( menos 1) en el grado (n más 1) multiplicar por (0,19 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 más uno) multiplicar por (cero , diecinueve en el grado (dos multiplicar por n más uno) dividir por (cuatro multiplicar por n en el grado dos menos uno))
  • (-1)(n+1)*(0,19(2*n+1)/(4*n2-1))
  • -1n+1*0,192*n+1/4*n2-1
  • (-1)^(n+1)*(0,19^(2*n+1)/(4*n²-1))
  • (-1) en el grado (n+1)*(0,19 en el grado (2*n+1)/(4*n en el grado 2-1))
  • (-1)^(n+1)(0,19^(2n+1)/(4n^2-1))
  • (-1)(n+1)(0,19(2n+1)/(4n2-1))
  • -1n+10,192n+1/4n2-1
  • -1^n+10,19^2n+1/4n^2-1
  • (-1)^(n+1)*(0,19^(2*n+1) dividir por (4*n^2-1))

  • Expresiones semejantes

  • (-1)^(n-1)*(0,19^(2*n+1)/(4*n^2-1))
  • (-1)^(n+1)*(0,19^(2*n+1)/(4*n^2+1))
  • (1)^(n+1)*(0,19^(2*n+1)/(4*n^2-1))
  • (-1)^(n+1)*(0,19^(2*n-1)/(4*n^2-1))
Suma de la serie/ (-1)^(n+1)*(0,19^(2*n+1)/(4*n^2-1))

Suma de la serie (-1)^(n+1)*(0,19^(2*n+1)/(4*n^2-1))


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Solución

Ha introducido [src] 
 161                         
_____                        
\    `                       
 \                    2*n + 1
  \              / 19\       
   \             |---|       
    )      n + 1 \100/       
   /   (-1)     *------------
  /                   2      
 /                 4*n  - 1  
/____,                       
n = 0
$$\sum_{n=0}^{161} \left(-1\right)^{n + 1} \frac{\left(\frac{19}{100}\right)^{2 n + 1}}{4 n^{2} - 1}$$ 
Sum((-1)^(n + 1)*((19/100)^(2*n + 1)/(4*n^2 - 1)), (n, 0, 161))
Velocidad de la convergencia de la serie
Respuesta [src] 
6694797503589077063308291169045949683221920024203359331747258715099902239851458951881215106039603007027349454058980556800591569668786326247345280779968551019983939145240166525476313371492173999311064027252583353489570255449868153180586979230241970059247407616515603078397641886709638957744185779244978681294230804103468267860411945756016156682491692064808370278998405822672071778622298288883740302059788197869444986179602894249775348572580912079123850440138906274052418652002058719729417976616904644701333487873824323526336625368272917126145408002609429309892369442679032411692386535834936770698561434533690762748883871214586452394722092805567015906304223849898528824172429204618430044959140227217421025282325920003142282633395467451823852277357024792812997247370742901742017 
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
34819757859573376854312663925974540530296052563111256239483578164031472879616150473437763607519924991397407514450921158965256799290000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
$$\frac{6694797503589077063308291169045949683221920024203359331747258715099902239851458951881215106039603007027349454058980556800591569668786326247345280779968551019983939145240166525476313371492173999311064027252583353489570255449868153180586979230241970059247407616515603078397641886709638957744185779244978681294230804103468267860411945756016156682491692064808370278998405822672071778622298288883740302059788197869444986179602894249775348572580912079123850440138906274052418652002058719729417976616904644701333487873824323526336625368272917126145408002609429309892369442679032411692386535834936770698561434533690762748883871214586452394722092805567015906304223849898528824172429204618430044959140227217421025282325920003142282633395467451823852277357024792812997247370742901742017}{34819757859573376854312663925974540530296052563111256239483578164031472879616150473437763607519924991397407514450921158965256799290000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$ 
6694797503589077063308291169045949683221920024203359331747258715099902239851458951881215106039603007027349454058980556800591569668786326247345280779968551019983939145240166525476313371492173999311064027252583353489570255449868153180586979230241970059247407616515603078397641886709638957744185779244978681294230804103468267860411945756016156682491692064808370278998405822672071778622298288883740302059788197869444986179602894249775348572580912079123850440138906274052418652002058719729417976616904644701333487873824323526336625368272917126145408002609429309892369442679032411692386535834936770698561434533690762748883871214586452394722092805567015906304223849898528824172429204618430044959140227217421025282325920003142282633395467451823852277357024792812997247370742901742017/34819757859573376854312663925974540530296052563111256239483578164031472879616150473437763607519924991397407514450921158965256799290000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Respuesta numérica [src] 
0.192270076391367068746178828201
0.192270076391367068746178828201
Gráfico
Suma de la serie (-1)^(n+1)*(0,19^(2*n+1)/(4*n^2-1))

    Ejemplos de hallazgo de la suma de la serie

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