query: How to find the partial sum of $n/2^n$?
positive_passages.docid: 562
positive_passages.text: Formula for calculating $\sum_{n=0}^{m}nr^n$
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: 28027
negative_passages.text: Find $\sum_{k=0}^{n}4^k \binom{n}{k}$
negative_passages.docid: 80177
negative_passages.text: Sum from $n=1$ to $N$ of $\sin(nx)/2^n$
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: 53162
negative_passages.text: $13\mid4^{2n+1}+3^{n+2}$
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: 18793
negative_passages.text: Partial sum of rows of Pascal's triangle
negative_passages.docid: 86051
negative_passages.text: Find the sum of reciprocals of divisors given the sum of divisors
negative_passages.docid: 112827
negative_passages.text: Find the sum of the binomial coefficients
negative_passages.docid: 131326
negative_passages.text: How to find $\sum_{r\ge 0} \binom{n}{r}\binom{n-r}{r} 2^{n-2r}$?
negative_passages.docid: 29170
negative_passages.text: Find the sum of the series $\sum \frac{1}{n(n+1)(n+2)}$
negative_passages.docid: 36742
negative_passages.text: The sum of $(-1)^n \frac{\ln n}{n}$
negative_passages.docid: 22657
negative_passages.text: How to find the sum of the infinite series?
negative_passages.docid: 56365
negative_passages.text: Evaluate $\sum\limits_{k=1}^{n} \frac{k}{2^k}$
negative_passages.docid: 48655
negative_passages.text: Find all n such that : $3 \mid (n2^{n}+1)$
negative_passages.docid: 7327
negative_passages.text: Sum of the digits of the number 2^1000