query: Compute the following sum
positive_passages.docid: 147635
positive_passages.text: Find the sum $\frac{1}{2\cdot 3}+\frac{1}{3\cdot 4}+\dots+\frac{1}{99\cdot 100}$
negative_passages.docid: 95786
negative_passages.text: Sum $\frac{1}{6} + \frac{5}{6\cdot 12} + \frac{5\cdot 8}{6\cdot 12\cdot 18} + \frac{5\cdot 8\cdot 11}{6\cdot 12\cdot 18\cdot 24}+\ldots$
negative_passages.docid: 120215
negative_passages.text: Sum of elements of a finite field
negative_passages.docid: 19776
negative_passages.text: Simplify a combinatorial sum
negative_passages.docid: 100896
negative_passages.text: What is the sum of this? $ 1 + \frac12 + \frac13 + \frac14 + \frac16 + \frac18 + \frac19 + \frac1{12} +\cdots$
negative_passages.docid: 114280
negative_passages.text: Computing $\sum_{n=1}^∞\frac{1}{(n+1)(n+2)(n+3)....(n+p)}$
negative_passages.docid: 117604
negative_passages.text: Sum of the rows of Pascal's Triangle.
negative_passages.docid: 100314
negative_passages.text: Problem with the subscripts of adjacent sums
negative_passages.docid: 105186
negative_passages.text: Compute $\sum\limits_{n=0}^{\infty}\frac{{x^n}{z^n}}{n\beta + \alpha}$
negative_passages.docid: 8806
negative_passages.text: Summation of binomial coefficients
negative_passages.docid: 143945
negative_passages.text: Summation of combination of binomial coefficient
negative_passages.docid: 110996
negative_passages.text: Sum of the form $r+r^2+r^4+\dots+r^{2^k} = \sum_{i=1}^k r^{2^i}$
negative_passages.docid: 134361
negative_passages.text: Calculating the sum of a binomial coefficient series
negative_passages.docid: 146746
negative_passages.text: A formula for the sum of the triangular numbers?
negative_passages.docid: 86426
negative_passages.text: calculate $\sum_{1\le i\le r}\frac{i+1} { r+1}{2r-i\choose r-i}{s+i-2\choose i}+\frac{1}{r+1}{2r\choose r}$?
negative_passages.docid: 121554
negative_passages.text: Finding $\sum\frac{1}{2^n(n+1)}$
negative_passages.docid: 123675
negative_passages.text: Evaluate the following limit of finite sum