query: Expression for $ \sum\limits_{i=1}^\mathbb{n}(-1)^{i-1}i^2 $
positive_passages.docid: 23726
positive_passages.text: A closed form for $1^{2}-2^{2}+3^{2}-4^{2}+ \cdots + (-1)^{n-1}n^{2}$
negative_passages.docid: 3798
negative_passages.text: Finding formula for sum $S_n = \sum_{i=1}^n i(i-1)$
negative_passages.docid: 38760
negative_passages.text: Infinite Series $\sum\limits_{n=0}^\infty\frac{(-1)^n}{(2n+1)^{2m+1}}$
negative_passages.docid: 4414
negative_passages.text: Computig the series $\sum\limits_{n=2}^\infty \ln\left(1-\frac{1}{n^2}\right)$
negative_passages.docid: 43903
negative_passages.text: Find the sum for $\sum_{n=1}^{\infty}(-1)^{(n+1)}\frac{2n+1}{3^n} $
negative_passages.docid: 37059
negative_passages.text: limit of the sum $\frac{1}{n+1}+\frac{1}{n+2}+\cdots+\frac{1}{2n} $
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: 50606
negative_passages.text: Find $\sum\limits_{k\, \text{ odd}} \frac{2(k^2-1)}{k^4+k^2+1}$
negative_passages.docid: 143753
negative_passages.text: Please help me to find the sum $\sum\limits_{n\geq1} \frac{\sin(nx)}{n^2}$
negative_passages.docid: 30672
negative_passages.text: Show that $\sum\limits_{k=0}^n\binom{2n}{2k}^{\!2}-\sum\limits_{k=0}^{n-1}\binom{2n}{2k+1}^{\!2}=(-1)^n\binom{2n}{n}$
negative_passages.docid: 39659
negative_passages.text: Is there a closed formula for this summation?
negative_passages.docid: 9610
negative_passages.text: Find the sum of $\sum\limits_{n=1}^{\infty} \frac{x^{n}}{n(n+1)}$
negative_passages.docid: 58972
negative_passages.text: Proof/Derivation of Closed form of Binomial Expression $\sum\limits_{k=0}^{2n}(-1)^k\binom{2n}{k}^2$
negative_passages.docid: 101017
negative_passages.text: What is the sum of $\sum\limits_{i=1}^{n}ip^i$?
negative_passages.docid: 118436
negative_passages.text: Identifying the series $\sum\limits_{k=-\infty}^{\infty} 2^k x^{2^k}$
negative_passages.docid: 97266
negative_passages.text: Summation by parts (finite calculus) of $\sum\limits_{i=0}^{n}i\cdot a^i$
negative_passages.docid: 57759
negative_passages.text: Determining the infinite sum $\sum\limits_{n=0}^{\infty}\frac{(-1)^n}{2n+1}$