Sum of Arithmetic-Geometric Series
6416
How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?
106552
Find the sum of $\sum \frac{1}{k^2 - a^2}$ when $0<a<1$
100936
What is the sum of this series: $\frac{2}{\pi}\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{2k-1}$
113633
sum of series using mean value theorem
95739
Sum of tangent functions where arguments are in specific arithmetic series
83145
Sum of rational numbers
114414
Sum of $\sum_{k=1}^n\sin{k\theta}$
119779
Sequences of arithmetic and geometric mean
25476
Question on geometrical proof of Geometric Series
26908
Partial Sums of Geometric Series
133420
Computing the binomial series: $\binom{n}{2}\cdot2^2+\binom{n}{4}\cdot2^4+\binom{n}{6}\cdot2^6+\cdots+ \binom{n}{n}\cdot2^n$
151384
Summation of series involving binomial coefficients and polynomial of degree at most n-1
105151
Geometric Summation Question $\sum_{n=2}^{\infty} n(n-1)x^{(n-2)} = \frac{2}{(1-x)^3}$
142985
Finding sum of series $\sum^{\infty}_{k=0}\frac{(k+1)(k+2)}{2^k}$
125148
Summation of series $\sum_{k=0}^\infty 2^k/\binom{2k+1}{k}$
37771
Sum of a power series $n x^n$
18796
How to find the sum of the series $1+\frac{1}{2}+ \frac{1}{3}+\frac{1}{4}+\dots+\frac{1}{n}$?