query: what is the sum of the series $\sum_{n=1}^{\infty} \frac{1}{2n^2+n}$
positive_passages.docid: 157075
positive_passages.text: Infinite summation 21
negative_passages.docid: 43320
negative_passages.text: Find the sum of the power series $\sum_{n=1}^\infty n*(n+1)*x^n$
negative_passages.docid: 33986
negative_passages.text: Calculate $\sum_{n=1}^{\infty}(\frac{1}{2n}-\frac{1}{n+1}+\frac{1}{2n+4})$
negative_passages.docid: 67752
negative_passages.text: Show that $\sum_{n = 1}^{+\infty} \frac{n}{2^n} = 2$
negative_passages.docid: 120633
negative_passages.text: How to find sum of this series $\sum_{0}^{\infty} \frac{(n!)^{2}x^{n}}{(2n)!}$
negative_passages.docid: 55339
negative_passages.text: Find the sum $\sum_{n=1}^{\infty}\frac{ 1}{n^{2}(2n-1)}$
negative_passages.docid: 137027
negative_passages.text: Find the value of $\sum_{n=0}^\infty\frac{1}{9n^2+9n+2}$
negative_passages.docid: 125148
negative_passages.text: Summation of series $\sum_{k=0}^\infty 2^k/\binom{2k+1}{k}$
negative_passages.docid: 151477
negative_passages.text: computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$
negative_passages.docid: 132182
negative_passages.text: $\sum_{n=1}^\infty \sum_{m=1}^\infty\frac{1}{(m+n)^2}$
negative_passages.docid: 84147
negative_passages.text: Evaluating $\sum_{n=1}^\infty \frac{2^{2n-1}}{5^{n+1}}$
negative_passages.docid: 148883
negative_passages.text: Sum of the series $\frac{1}{2\cdot 4}+\frac{1\cdot3}{2\cdot4\cdot6}+\dots$
negative_passages.docid: 16967
negative_passages.text: Sum : $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3}$
negative_passages.docid: 22657
negative_passages.text: How to find the sum of the infinite series?
negative_passages.docid: 52241
negative_passages.text: Calculate sum of series $\sum \frac{n^2}{n!}$
negative_passages.docid: 150148
negative_passages.text: Sum of $\sum^\infty_{n=2} \frac{1}{\ln{(n!)}}$
negative_passages.docid: 127267
negative_passages.text: Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(2n+1)}=2-2\ln(2)$