The sum of the series $1 + 2x + 3x^2 ...$
6416
How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?
81589
Find the sum of $\sum_{k=0}^{\infty} 1/[(r+2k+2)(s+2k+2)]$
133420
Computing the binomial series: $\binom{n}{2}\cdot2^2+\binom{n}{4}\cdot2^4+\binom{n}{6}\cdot2^6+\cdots+ \binom{n}{n}\cdot2^n$
53389
Consider the series $ ∑_{n=1}^∞ x^2+ n/n^2$ . Pick out the true statements:
32355
How to find the sum of the sequence $\frac{1}{1+1^2+1^4} +\frac{2}{1+2^2+2^4} +\frac{3}{1+3^2+3^4}+.....$
37771
Sum of a power series $n x^n$
94871
Sum of an unorthodox infinite series
67731
Calculate the sum of infinite series with general term $\frac{n^2}{2^n}$.
142985
Finding sum of series $\sum^{\infty}_{k=0}\frac{(k+1)(k+2)}{2^k}$
30895
Compute the sum of the series $\sum_{n=1}^{\infty} \frac{1}{n \cdot 2^n}$
18796
How to find the sum of the series $1+\frac{1}{2}+ \frac{1}{3}+\frac{1}{4}+\dots+\frac{1}{n}$?
17056
How to find answer to the sum of series $\sum_{n=1}^{\infty}\frac{n}{2^n} $
92754
Closed form for the series: $\sum_{n=1}^{\infty}x^{n^2}$
76387
Evaluate the series $\sum_{n=1}^{\infty} \frac{2^{[\sqrt{n}]}+2^{-[\sqrt{n}]}}{2^n}$
26446
Find the sum : $\displaystyle\sum_{i=0}^n \frac{2^i}{1+x^{2^{i}}}$
51146
Sum of Infinite Series $1 + 1/2 + 1/4 + 1/16 + \cdots$
151477
computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$