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sin^2(n+1/(2*n-1))

Suma de la serie sin^2(n+1/(2*n-1))



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Solución

Ha introducido [src]
  13                   
 ___                   
 \  `                  
  \      2/       1   \
   )  sin |n + -------|
  /       \    2*n - 1/
 /__,                  
n = 1                  
$$\sum_{n=1}^{13} \sin^{2}{\left(n + \frac{1}{2 n - 1} \right)}$$
Sum(sin(n + 1/(2*n - 1))^2, (n, 1, 13))
Velocidad de la convergencia de la serie
Respuesta [src]
   2         2           2            2            2            2/67\      2/92\      2/121\      2/154\      2/191\      2/232\      2/277\      2/326\
sin (2) + sin (7/3) + sin (16/5) + sin (29/7) + sin (46/9) + sin |--| + sin |--| + sin |---| + sin |---| + sin |---| + sin |---| + sin |---| + sin |---|
                                                                 \11/       \13/       \ 15/       \ 17/       \ 19/       \ 21/       \ 23/       \ 25/
$$\sin^{2}{\left(\frac{16}{5} \right)} + \sin^{2}{\left(\frac{67}{11} \right)} + \sin^{2}{\left(\frac{154}{17} \right)} + \sin^{2}{\left(\frac{326}{25} \right)} + \sin^{2}{\left(\frac{277}{23} \right)} + \sin^{2}{\left(\frac{191}{19} \right)} + \sin^{2}{\left(\frac{92}{13} \right)} + \sin^{2}{\left(\frac{7}{3} \right)} + \sin^{2}{\left(\frac{29}{7} \right)} + \sin^{2}{\left(2 \right)} + \sin^{2}{\left(\frac{46}{9} \right)} + \sin^{2}{\left(\frac{121}{15} \right)} + \sin^{2}{\left(\frac{232}{21} \right)}$$
sin(2)^2 + sin(7/3)^2 + sin(16/5)^2 + sin(29/7)^2 + sin(46/9)^2 + sin(67/11)^2 + sin(92/13)^2 + sin(121/15)^2 + sin(154/17)^2 + sin(191/19)^2 + sin(232/21)^2 + sin(277/23)^2 + sin(326/25)^2
Respuesta numérica [src]
6.33969934185215775983260475309
6.33969934185215775983260475309
Gráfico
Suma de la serie sin^2(n+1/(2*n-1))

    Ejemplos de hallazgo de la suma de la serie