query: Evaluate to find the sum of an infinite series
positive_passages.docid: 6416
positive_passages.text: How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?
negative_passages.docid: 69439
negative_passages.text: Infinite Sum of algebraic expression
negative_passages.docid: 151477
negative_passages.text: computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$
negative_passages.docid: 63863
negative_passages.text: Evaluate: $\sum_{n=1}^{\infty}\frac{1}{n k^n}$
negative_passages.docid: 104078
negative_passages.text: Calculate the sum of the infinite series $\sum_{n=0}^{\infty} \frac{n}{4^n}$
negative_passages.docid: 65653
negative_passages.text: Find a closed form of the series $\sum_{n=0}^{\infty} n^2x^n$
negative_passages.docid: 28378
negative_passages.text: Find the infinite sum of the series $\sum_{n=1}^\infty \frac{1}{n^2 +1}$
negative_passages.docid: 53658
negative_passages.text: Find the sum series $\sum_{n=1}^{+\infty} \frac{(-1)^{n-1}(2n-1)}{2^{n-1}}$
negative_passages.docid: 125148
negative_passages.text: Summation of series $\sum_{k=0}^\infty 2^k/\binom{2k+1}{k}$
negative_passages.docid: 120988
negative_passages.text: Infinite Series $\sum 1/(n(n+1))$
negative_passages.docid: 125981
negative_passages.text: Closed-Form Solution to Infinite Sum
negative_passages.docid: 94943
negative_passages.text: Sum of series with addition: $\sum_{n=1}^\infty \frac{1}{n^2(n+1)}$
negative_passages.docid: 38760
negative_passages.text: Infinite Series $\sum\limits_{n=0}^\infty\frac{(-1)^n}{(2n+1)^{2m+1}}$
negative_passages.docid: 24033
negative_passages.text: Infinite Series $\sum\limits_{k=1}^{\infty}\frac{k^n}{k!}$
negative_passages.docid: 115420
negative_passages.text: Evaluate $\sum_{n=1}^{\infty} \frac{n}{n^4+n^2+1}$
negative_passages.docid: 146651
negative_passages.text: Evaluting sum $\sum \limits_{n=0}^\infty\frac{n^k}{n!}$
negative_passages.docid: 53389
negative_passages.text: Consider the series $ ∑_{n=1}^∞ x^2+ n/n^2$ . Pick out the true statements: