query: Evaluate the series $\sum_{k\geq 1} \frac{1}{2^k k^2}$
positive_passages.docid: 17686
positive_passages.text: Evaluate the infinite series $\sum_{r=1}^{\infty} \frac{2^{-r}}{r^{2}}$
negative_passages.docid: 63863
negative_passages.text: Evaluate: $\sum_{n=1}^{\infty}\frac{1}{n k^n}$
negative_passages.docid: 27224
negative_passages.text: Infinite series $\sum_{k=1}^\infty \frac{k}{2^k}$ and $\sum_{k=1}^\infty \frac{k^2}{2^k}$
negative_passages.docid: 79415
negative_passages.text: The series $\sum_{n=2}^{\infty }\frac{1}{\log (n!)}$
negative_passages.docid: 117863
negative_passages.text: Series $\sum_{n=1}^\infty \frac{n^n}{(n!)^2}$
negative_passages.docid: 29524
negative_passages.text: Formula for the sum $\sum_{i=2}^{n} \frac1{i^2-1}$
negative_passages.docid: 151477
negative_passages.text: computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$
negative_passages.docid: 68080
negative_passages.text: Evaluation of $\sum_{k=0}^n{n\choose k}^2u^k$
negative_passages.docid: 127189
negative_passages.text: sum of this series: $\sum_{n=1}^{\infty}\frac{1}{4n^2-1}$
negative_passages.docid: 70841
negative_passages.text: A simple series $\sum_{i=1}^\infty \frac{i}{2^i} = 2$
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: 100936
negative_passages.text: What is the sum of this series: $\frac{2}{\pi}\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{2k-1}$
negative_passages.docid: 137249
negative_passages.text: find $\sum_{k=2}^{\infty}\frac{1}{k^2-1}$
negative_passages.docid: 52241
negative_passages.text: Calculate sum of series $\sum \frac{n^2}{n!}$
negative_passages.docid: 52278
negative_passages.text: How to solve $\sum_{k=2}^\infty {\frac{1}{k^2-1}}$
negative_passages.docid: 24373
negative_passages.text: Hint on computing the series $\sum_{n=2}^\infty \frac{1}{n^2-1}$.
negative_passages.docid: 146651
negative_passages.text: Evaluting sum $\sum \limits_{n=0}^\infty\frac{n^k}{n!}$