query: Sum up the following series: $\sum^n_{k=1}\frac{k^2}{2^k}$
positive_passages.docid: 27224
positive_passages.text: Infinite series $\sum_{k=1}^\infty \frac{k}{2^k}$ and $\sum_{k=1}^\infty \frac{k^2}{2^k}$
negative_passages.docid: 112036
negative_passages.text: sum of series $\frac{n}{1\cdot 2 \cdot 3}+\frac{n-1}{2\cdot 3\cdot 4}+\frac{n-2}{3\cdot 4 \cdot 5}+\cdots \cdots n$ terms
negative_passages.docid: 326
negative_passages.text: Find $\sum_{k=1}^{\infty}\frac{1}{2^{k+1}-1}$
negative_passages.docid: 150355
negative_passages.text: Finding sum of binomial series
negative_passages.docid: 42216
negative_passages.text: Sum of infinite series $\sum_{i=1}^{\infty} \frac 1 {i(i+1)(i+2)...(i+n)}$
negative_passages.docid: 137155
negative_passages.text: Sum $ \sum\limits_{k=1}^{\infty} \frac{k^2}{2^k}$
negative_passages.docid: 89367
negative_passages.text: Calculate $ S =\sum_{k=1}^n\frac {1}{k(k+1)(k+2)}. $
negative_passages.docid: 115420
negative_passages.text: Evaluate $\sum_{n=1}^{\infty} \frac{n}{n^4+n^2+1}$
negative_passages.docid: 55339
negative_passages.text: Find the sum $\sum_{n=1}^{\infty}\frac{ 1}{n^{2}(2n-1)}$
negative_passages.docid: 54604
negative_passages.text: Evaluate $ \sum_{m > n > 0} \frac{m^2 - n^2}{(m^2 + n^2)^2} $
negative_passages.docid: 52278
negative_passages.text: How to solve $\sum_{k=2}^\infty {\frac{1}{k^2-1}}$
negative_passages.docid: 102339
negative_passages.text: How to compute the sum of a series
negative_passages.docid: 127189
negative_passages.text: sum of this series: $\sum_{n=1}^{\infty}\frac{1}{4n^2-1}$
negative_passages.docid: 35036
negative_passages.text: Series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^2}$
negative_passages.docid: 126105
negative_passages.text: Compute $\sum_{k=1}^{n} \frac 1 {k(k + 1)} $
negative_passages.docid: 56365
negative_passages.text: Evaluate $\sum\limits_{k=1}^{n} \frac{k}{2^k}$
negative_passages.docid: 26491
negative_passages.text: Sum function of a series