query: Sum of a series of the form n a^n
positive_passages.docid: 562
positive_passages.text: Formula for calculating $\sum_{n=0}^{m}nr^n$
negative_passages.docid: 1379
negative_passages.text: Summation of $n^2x^n$ terms
negative_passages.docid: 80177
negative_passages.text: Sum from $n=1$ to $N$ of $\sin(nx)/2^n$
negative_passages.docid: 145322
negative_passages.text: Sum of a Hyper-geometric series. (NBHM 2011)
negative_passages.docid: 120988
negative_passages.text: Infinite Series $\sum 1/(n(n+1))$
negative_passages.docid: 59485
negative_passages.text: Infinite Series: $\sum_{n=1}^\infty \frac{1}{2^nn}$
negative_passages.docid: 71824
negative_passages.text: Finding the sum of the series $\frac{1}{1!}+\frac{1+2}{2!}+\frac{1+2+3}{3!}+ \ldots$
negative_passages.docid: 138313
negative_passages.text: How to sum $\sum_{n=1}^{\infty} \frac{1}{n^2 + a^2}$?
negative_passages.docid: 113633
negative_passages.text: sum of series using mean value theorem
negative_passages.docid: 142985
negative_passages.text: Finding sum of series $\sum^{\infty}_{k=0}\frac{(k+1)(k+2)}{2^k}$
negative_passages.docid: 79415
negative_passages.text: The series $\sum_{n=2}^{\infty }\frac{1}{\log (n!)}$
negative_passages.docid: 141390
negative_passages.text: Closed form for $\sum_{n=-\infty}^\infty \frac{1}{(z+n)^2+a^2}$
negative_passages.docid: 88973
negative_passages.text: How do you calculate this sum $\sum_{n=1}^\infty nx^n$?
negative_passages.docid: 86194
negative_passages.text: Infinite series with the binomial coefficient
negative_passages.docid: 131708
negative_passages.text: Sum of powers of natural numbers
negative_passages.docid: 15803
negative_passages.text: Does the series $\sum n!/n^n$ converge or diverge?
negative_passages.docid: 125148
negative_passages.text: Summation of series $\sum_{k=0}^\infty 2^k/\binom{2k+1}{k}$