query: Find the sum of a series involving n roots of unity
positive_passages.docid: 150822
positive_passages.text: Finding $\sum_{k=0}^{n-1}\frac{\alpha_k}{2-\alpha_k}$, where $\alpha_k$ are the $n$-th roots of unity
negative_passages.docid: 62463
negative_passages.text: A pencil approach to find $\sum \limits_{i=1}^{69} \sqrt{\left( 1+\frac{1}{i^2}+\frac{1}{(i+1)^2}\right)}$
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: 148883
negative_passages.text: Sum of the series $\frac{1}{2\cdot 4}+\frac{1\cdot3}{2\cdot4\cdot6}+\dots$
negative_passages.docid: 139221
negative_passages.text: Compute the series $\sum_{n=1}^{+\infty} \frac{1}{n^3\sin(n\pi\sqrt{2})}.$
negative_passages.docid: 134633
negative_passages.text: How to sum this series for $\pi/2$ directly?
negative_passages.docid: 91410
negative_passages.text: Finding the sum of this series: $1+\frac 12 + \frac 13 + \cdots + \frac 1{50}$
negative_passages.docid: 55339
negative_passages.text: Find the sum $\sum_{n=1}^{\infty}\frac{ 1}{n^{2}(2n-1)}$
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: 54374
negative_passages.text: Alternating Series Using Other Roots of Unity
negative_passages.docid: 102339
negative_passages.text: How to compute the sum of a series
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: 52241
negative_passages.text: Calculate sum of series $\sum \frac{n^2}{n!}$
negative_passages.docid: 26446
negative_passages.text: Find the sum : $\displaystyle\sum_{i=0}^n \frac{2^i}{1+x^{2^{i}}}$
negative_passages.docid: 113713
negative_passages.text: Closed formula for the sum of the following series
negative_passages.docid: 93690
negative_passages.text: How to obtain the sum of the following series? $\sum_{n=1}^\infty{\frac{n^2}{2^n}}$
negative_passages.docid: 121554
negative_passages.text: Finding $\sum\frac{1}{2^n(n+1)}$