query: The sum of an alternative series
positive_passages.docid: 40048
positive_passages.text: Finding the fallacy in this broken proof
negative_passages.docid: 138492
negative_passages.text: Finding the sum of the infinite series whose general term is not easy to visualize: $\frac16+\frac5{6\cdot12}+\frac{5\cdot8}{6\cdot12\cdot18}+\cdots$
negative_passages.docid: 52241
negative_passages.text: Calculate sum of series $\sum \frac{n^2}{n!}$
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: 32637
negative_passages.text: What is the sum of this series: $\displaystyle\sum_{n=0}^{\infty} \dfrac{a^n}{(3n)!}$
negative_passages.docid: 50812
negative_passages.text: Partial sum of the series $\sum\limits_{r=1}^{\infty} \frac{1}{r(r+1)}$
negative_passages.docid: 18814
negative_passages.text: Sum of the series $1+\frac{1\cdot 3}{6}+\frac{1\cdot3\cdot5}{6\cdot8}+\cdots$
negative_passages.docid: 70018
negative_passages.text: Sum of series (telescoping)
negative_passages.docid: 47596
negative_passages.text: An infinite series plus a continued fraction by Ramanujan
negative_passages.docid: 83641
negative_passages.text: The sum of the series $\frac{15}{16}+\frac{15}{16} \times \frac{21}{24}+\frac{15}{16} \times \frac{21}{24} \times \frac{27}{32}+\dots$
negative_passages.docid: 125933
negative_passages.text: On the series $\sum \limits_{n=2}^{\infty} \frac{(-1)^n}{n \log n}$
negative_passages.docid: 117863
negative_passages.text: Series $\sum_{n=1}^\infty \frac{n^n}{(n!)^2}$
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: 130083
negative_passages.text: Evaluating sum of a combination series
negative_passages.docid: 20945
negative_passages.text: On a series involving harmonic numbers
negative_passages.docid: 4414
negative_passages.text: Computig the series $\sum\limits_{n=2}^\infty \ln\left(1-\frac{1}{n^2}\right)$
negative_passages.docid: 91316
negative_passages.text: Sum of the series $\sum _{ r=1 }^{ \infty }{ \frac { { r }^{ 3 } }{ r! } } $