query: Series question,related to telescopic series, 1/2*4+ 1*3/2*4*6+ 1*3*5/2*4*6*8 ...infinity
positive_passages.docid: 148883
positive_passages.text: Sum of the series $\frac{1}{2\cdot 4}+\frac{1\cdot3}{2\cdot4\cdot6}+\dots$
negative_passages.docid: 99542
negative_passages.text: Does the series $1 + \frac{1}{2} - \frac{1}{3} + \frac{1}{4} + \frac{1}{5} - \frac{1}{6} + \dots$ converge?
negative_passages.docid: 44754
negative_passages.text: Infinite Series $\sum\limits_{n=1}^{\infty}\frac{1}{4^n\cos^2\frac{x}{2^n}}$
negative_passages.docid: 59485
negative_passages.text: Infinite Series: $\sum_{n=1}^\infty \frac{1}{2^nn}$
negative_passages.docid: 148143
negative_passages.text: Find the sum to n terms as well as the sum to infinity of the series:
negative_passages.docid: 113189
negative_passages.text: Find the sum of the series $1^2-2^2+3^2-4^2+...-(2n)^2$
negative_passages.docid: 81596
negative_passages.text: Series expansion at $x=0$ of $\frac{3x}{1+x^2 + x^4}$
negative_passages.docid: 127806
negative_passages.text: How to find the sum of the series $\sum_{k=2}^\infty \frac{1}{k^2-1}$?
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: 8905
negative_passages.text: Sum the series $\frac{3}{1⋅2⋅4}+\frac{4}{2⋅3⋅5}+ \frac{5}{3⋅4⋅6}+...\text{(upto n terms)}$
negative_passages.docid: 140677
negative_passages.text: What is the telescoping series? $\sum_{k=1}^{n} k \cdot k!$
negative_passages.docid: 125148
negative_passages.text: Summation of series $\sum_{k=0}^\infty 2^k/\binom{2k+1}{k}$
negative_passages.docid: 20945
negative_passages.text: On a series involving harmonic numbers
negative_passages.docid: 76387
negative_passages.text: Evaluate the series $\sum_{n=1}^{\infty} \frac{2^{[\sqrt{n}]}+2^{-[\sqrt{n}]}}{2^n}$
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: 120238
negative_passages.text: I have a question about properties of series.
negative_passages.docid: 67434
negative_passages.text: Finding the infinite series: $3 \cdot \frac{9}{11} + 4 \cdot \left(\frac{9}{11}\right)^2 + 5 \cdot \left(\frac{9}{11}\right)^3 + \cdots$?