query: Evaluating Sum of $\dfrac{i}{(-x)^i}$
positive_passages.docid: 562
positive_passages.text: Formula for calculating $\sum_{n=0}^{m}nr^n$
negative_passages.docid: 109901
negative_passages.text: Computing $\int_0^\infty\frac1{(x+1)(x+2)\cdots(x+n)}\mathrm dx $
negative_passages.docid: 131023
negative_passages.text: Evaluate the sum: $\sum\limits_{n=0}^{\infty} \frac1{F_{(2^n)}}$
negative_passages.docid: 69439
negative_passages.text: Infinite Sum of algebraic expression
negative_passages.docid: 93427
negative_passages.text: Show that $\sum_{i=1}^{n} \frac {a_i}{1+a-a_i} + \prod_{i=1}^{n} {(1-a_i)} \leq 1$
negative_passages.docid: 101017
negative_passages.text: What is the sum of $\sum\limits_{i=1}^{n}ip^i$?
negative_passages.docid: 92637
negative_passages.text: Evaluating $\int \frac{\operatorname dx}{x\log x}$
negative_passages.docid: 151085
negative_passages.text: Simplify the sum $ \sum_{i=0}^{k}(-1)^i i \binom{n}{i} \binom{n}{k-i}$
negative_passages.docid: 147479
negative_passages.text: Evaluate $\int \frac{2-3x}{2+3x}\sqrt\frac{1+x}{1-x}dx$
negative_passages.docid: 98808
negative_passages.text: Finite Sum $\sum_{i=1}^n\frac i {2^i}$
negative_passages.docid: 27195
negative_passages.text: Evaluating $\int_{0}^{1}\frac{1-x}{1+x}\frac{\mathrm dx}{\ln x}$
negative_passages.docid: 41930
negative_passages.text: Mean of $ \sum (X_i - \bar{X})^2$
negative_passages.docid: 37007
negative_passages.text: Evaluating $\sum_{k=1}^{n} \frac{1}{k(k+1)}$
negative_passages.docid: 69045
negative_passages.text: Solving this summation: $\sum_{i=1}^k i\cdot2^i$
negative_passages.docid: 101908
negative_passages.text: Solving summations of form $\sum_{i=0}^{\infty} i^kx^i$ without Differentiation and Integration
negative_passages.docid: 56365
negative_passages.text: Evaluate $\sum\limits_{k=1}^{n} \frac{k}{2^k}$
negative_passages.docid: 129734
negative_passages.text: Computing $\sum_{k=1}^{\infty}\frac{1}{k}\int_{\pi k}^{\infty}\frac{\sin(x)}{x}dx$