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  • Sum of series:
  • n^(1/n) n^(1/n)
  • 5^n 5^n
  • 2(1/(n^2+5n+6)) 2(1/(n^2+5n+6))
  • ((-1)^n)*((x^n)/(2n*n!))

  • Identical expressions

  • (- one / two ^(n+ one))*(sen(n*a))
  • ( minus 1 divide by 2 to the power of (n plus 1)) multiply by (sen(n multiply by a))
  • ( minus one divide by two to the power of (n plus one)) multiply by (sen(n multiply by a))
  • (-1/2(n+1))*(sen(n*a))
  • -1/2n+1*senn*a
  • (-1/2^(n+1))(sen(na))
  • (-1/2(n+1))(sen(na))
  • -1/2n+1senna
  • -1/2^n+1senna
  • (-1 divide by 2^(n+1))*(sen(n*a))

  • Similar expressions

  • (-1/2^(n-1))*(sen(n*a))
  • (1/2^(n+1))*(sen(n*a))
Sum of series/ (-1/2^(n+1))*(sen(n*a))

Sum of series (-1/2^(n+1))*(sen(n*a))


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The solution

You have entered [src] 
  oo                   
 ___                   
 \  `                  
  \     -1 - n         
  /   -2      *sin(n*a)
 /__,                  
n = 0
$$\sum_{n=0}^{\infty} - \left(\frac{1}{2}\right)^{n + 1} \sin{\left(a n \right)}$$ 
Sum((-(1/2)^(n + 1))*sin(n*a), (n, 0, oo))
The answer [src] 
  oo                   
 ___                   
 \  `                  
  \     -1 - n         
  /   -2      *sin(a*n)
 /__,                  
n = 0
$$\sum_{n=0}^{\infty} - 2^{- n - 1} \sin{\left(a n \right)}$$ 
Sum(-2^(-1 - n)*sin(a*n), (n, 0, oo))

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