query: Sum of finite series involving square roots
positive_passages.docid: 143207
positive_passages.text: What is $\sum\limits_{i=1}^n \sqrt i\ $?
negative_passages.docid: 47463
negative_passages.text: Converting sums of square-roots to nested square-roots
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: 76387
negative_passages.text: Evaluate the series $\sum_{n=1}^{\infty} \frac{2^{[\sqrt{n}]}+2^{-[\sqrt{n}]}}{2^n}$
negative_passages.docid: 86194
negative_passages.text: Infinite series with the binomial coefficient
negative_passages.docid: 102339
negative_passages.text: How to compute the sum of a series
negative_passages.docid: 84159
negative_passages.text: The sum to n terms of the series $\frac{1}{\sqrt 1+\sqrt 3} + \frac{1}{\sqrt 3 +\sqrt 5} ....$
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: 148883
negative_passages.text: Sum of the series $\frac{1}{2\cdot 4}+\frac{1\cdot3}{2\cdot4\cdot6}+\dots$
negative_passages.docid: 98808
negative_passages.text: Finite Sum $\sum_{i=1}^n\frac i {2^i}$
negative_passages.docid: 145500
negative_passages.text: Finite Series - reciprocals of sines
negative_passages.docid: 142985
negative_passages.text: Finding sum of series $\sum^{\infty}_{k=0}\frac{(k+1)(k+2)}{2^k}$
negative_passages.docid: 110416
negative_passages.text: Sums of roots of unity
negative_passages.docid: 9960
negative_passages.text: Sum of an infinite series $(1 - \frac 12) + (\frac 12 - \frac 13) + \cdots$ - not geometric series?
negative_passages.docid: 94871
negative_passages.text: Sum of an unorthodox infinite series
negative_passages.docid: 144568
negative_passages.text: How closely can we estimate $\sum_{i=0}^n \sqrt{i}$
negative_passages.docid: 45361
negative_passages.text: Checking the consistency and Bias of $\frac{\sum X_i +\sqrt{n}/2}{n+\sqrt{n}}$