Determine the Value of $\sum_{n=0}^{\infty} (1+n)x^n$
6416
How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?
108605
Identify infinite sum: $\sum\limits_{n=0}^{+\infty}\frac{x^{4n}}{(4n)!}$
104078
Calculate the sum of the infinite series $\sum_{n=0}^{\infty} \frac{n}{4^n}$
76387
Evaluate the series $\sum_{n=1}^{\infty} \frac{2^{[\sqrt{n}]}+2^{-[\sqrt{n}]}}{2^n}$
63863
Evaluate: $\sum_{n=1}^{\infty}\frac{1}{n k^n}$
151477
computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$
158737
What is the value of the series $\sum\limits_{n=1}^\infty \frac{(-1)^n}{n^2}$?
37771
Sum of a power series $n x^n$
133398
$g(x)=\sum_{n=0}^{\infty} \lceil {\frac{n+1}{2}} \rceil x^n$, find $g(\frac{1}{3})$
43320
Find the sum of the power series $\sum_{n=1}^\infty n*(n+1)*x^n$
13796
What is the value of $\prod_{n=1}^\infty (1+\frac{1}{n^2})$?
151189
calculate the sum of an infinite series
43903
Find the sum for $\sum_{n=1}^{\infty}(-1)^{(n+1)}\frac{2n+1}{3^n} $
25504
How to find sum of the infinite series $\sum_{n=1}^{\infty} \frac{1}{ n(2n+1)}$
88973
How do you calculate this sum $\sum_{n=1}^\infty nx^n$?
120633
How to find sum of this series $\sum_{0}^{\infty} \frac{(n!)^{2}x^{n}}{(2n)!}$
14858
Determine if $\sum_{n=1}^\infty \frac{n+4^n}{n+6^n}$ converges