query: Creating a formula for calculating $\sum\limits_{k=1}^n\frac k{(1+r)^k}$
positive_passages.docid: 562
positive_passages.text: Formula for calculating $\sum_{n=0}^{m}nr^n$
negative_passages.docid: 147514
negative_passages.text: How to calculate $\lim \limits_{n \to \infty}(1 +\frac{a}{n})^n$?
negative_passages.docid: 7510
negative_passages.text: Methods to find $\lim\limits_{n\to\infty}\frac1n\sum\limits_{k=1}^nn^{1/k} $
negative_passages.docid: 25507
negative_passages.text: Find the limit of $\sum\limits_{k=1}^n\left(\sqrt{1+\frac{k}{n^2}}-1\right)$
negative_passages.docid: 103833
negative_passages.text: limit $\lim_{n\to \infty }\sum_{k=1}^{n}\frac{k}{k^2+n^2}$
negative_passages.docid: 158774
negative_passages.text: Series of binomial coefficients: $\sum\limits_{n=k}^{\infty}{\binom nk}x^n=\frac{x^k}{(1-x)^{k+1}}$
negative_passages.docid: 105186
negative_passages.text: Compute $\sum\limits_{n=0}^{\infty}\frac{{x^n}{z^n}}{n\beta + \alpha}$
negative_passages.docid: 11389
negative_passages.text: What is $\lim_{n\to \infty}\sum_{k=1}^n \left(\frac{k}{n}\right)^n$?
negative_passages.docid: 137155
negative_passages.text: Sum $ \sum\limits_{k=1}^{\infty} \frac{k^2}{2^k}$
negative_passages.docid: 116019
negative_passages.text: Find the limit $\lim\limits_{n\to \infty}\sum\limits_{k=1}^{n}\left(\frac{k}{n^2}\right)^{\frac{k}{n^2}+1}$
negative_passages.docid: 90030
negative_passages.text: What would be the value of $\sum\limits_{n=0}^\infty \frac{1}{an^2+bn+c}$
negative_passages.docid: 152557
negative_passages.text: Calculate $ \lim\limits_{n \to \infty} \sum\limits_{k=0}^n \frac{2^{k-1}}{a^{2k-1}+1} $
negative_passages.docid: 99843
negative_passages.text: How to simplify $ \sum_{k=0}^{\infty} \binom{k + r - 1}{k} x^k$
negative_passages.docid: 17713
negative_passages.text: What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?
negative_passages.docid: 49771
negative_passages.text: Prove that $\sum\limits_{k=0}^r\binom{n+k}k=\binom{n+r+1}r$ using combinatoric arguments.
negative_passages.docid: 103840
negative_passages.text: Calculate $\sum_{k=1}^n k2^{n-k}$
negative_passages.docid: 121029
negative_passages.text: How do I add summation formula's like this: $F(n+2) = 1 + \sum\limits_{i=0}^{n} F(i)$?