query: Why is this the closed-form solution for this series?
positive_passages.docid: 2675
positive_passages.text: Proof $1+2+3+4+\cdots+n = \frac{n\times(n+1)}2$
negative_passages.docid: 140462
negative_passages.text: Find a closed form for the power series $f_p(x)=\sum\limits_{n=0}^\infty\frac{n^p}{n!}x^n$
negative_passages.docid: 102490
negative_passages.text: Does this recursive sequence have a closed-form?
negative_passages.docid: 16320
negative_passages.text: confused about geometric series closed formula
negative_passages.docid: 12423
negative_passages.text: "Closed" form for $\sum \frac{1}{n^n}$
negative_passages.docid: 10141
negative_passages.text: Find closed form expression for series expansion coefficients
negative_passages.docid: 101908
negative_passages.text: Solving summations of form $\sum_{i=0}^{\infty} i^kx^i$ without Differentiation and Integration
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: 35855
negative_passages.text: Closed form for an infinite product
negative_passages.docid: 30480
negative_passages.text: Continued product in $\sin$ series
negative_passages.docid: 69084
negative_passages.text: What is the closed form for $\sum_{n=1}^\infty \frac1n - \frac1{n+1/p}$?
negative_passages.docid: 53389
negative_passages.text: Consider the series $ ∑_{n=1}^∞ x^2+ n/n^2$ . Pick out the true statements:
negative_passages.docid: 20945
negative_passages.text: On a series involving harmonic numbers
negative_passages.docid: 19633
negative_passages.text: Closed form for a pair of continued fractions
negative_passages.docid: 59253
negative_passages.text: Summing the power series $\sum\limits_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{2n+1}\prod\limits_{k=1}^n\frac{2k-1}{2k} $
negative_passages.docid: 49284
negative_passages.text: Solving an ODE in power series
negative_passages.docid: 8558
negative_passages.text: What does a "closed-form solution" mean?