oo ____ \ ` \ / n n\ \ |/ ___\ / ___\ | ) ___ 3 - n ||1 + \/ 5 | |1 - \/ 5 | | / \/ 5 *3 *||---------| - |---------| | / \\ 2 / \ 2 / / /___, n = 1
Sum((sqrt(5)*3^(3 - n))*(((1 + sqrt(5))/2)^n - ((1 - sqrt(5))/2)^n), (n, 1, oo))
/ ___\ / ___\ ___ |1 \/ 5 | ___ |1 \/ 5 | 27*\/ 5 *|- - -----| 27*\/ 5 *|- + -----| \6 6 / \6 6 / - -------------------- + -------------------- ___ ___ 5 \/ 5 5 \/ 5 - + ----- - - ----- 6 6 6 6
-27*sqrt(5)*(1/6 - sqrt(5)/6)/(5/6 + sqrt(5)/6) + 27*sqrt(5)*(1/6 + sqrt(5)/6)/(5/6 - sqrt(5)/6)
x^n/n
(x-1)^n
1/2^(n!)
n^2/n!
x^n/n!
k!/(n!*(n+k)!)
csc(n)^2/n^3
1/n^2
1/n^4
1/n^6
1/n
(-1)^n
(-1)^(n + 1)/n
(n + 2)*(-1)^(n - 1)
(3*n - 1)/(-5)^n
(-1)^(n - 1)*n/(6*n - 5)
(-1)^(n + 1)/n*x^n
(3*n - 1)/(-5)^n