# Questions tagged [summation]

Questions using the Sum command, especially for series and other algebraic objects, and related functions such as SumConvergence

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### Problem with simplification KroneckerDelta

Bug introduced in 8.0 or earlier and fixed in 9.0 I have: ...
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### How to find all methods available to SumConvergence?

Looking into this question made me suspect that SumConvergence might have more Methods available than the four listed in its ...
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### SumConvergence difficulty

Backslide introduced in 9, persisting through 11.2. Consider the series $\sum_{n=1}^\infty\sin\frac{50}{n^2}$. The terms are eventually positive. ...
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### Summation over integers satisfying some conditions

$n$ is a fixed positive integer and $p$ is the largest prime $\le n$: p = Prime[PrimePi[n]] For each subset $L$ of positive composite integers less than or ...
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### SumConvergence and Interval of Convergence

Consider the series: $$\sum_{n=1}^\infty\frac{(x-3)^n}{n}$$ Doing hand-calculations, I applied the Ratio Test and found that it converges if $|x-3|<1$, making the radius of convergence $R=1$. ...
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### Wrong computation of a series with FactorialPower?

I wanted to compute the series defined by $$\sum_{k=1}^\infty\frac{(-1)^{k+1}}k x^\underline k$$ where $x^\underline k:=\prod_{j=0}^{k-1}(x-j)$ is a falling factorial. Thus I write ...
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### Sum elemets of an array

I am not sure this is something that is possible to implement in mathematica, but my question is the following. I have a system three linear equation where the coefficients in front of each variable ...
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### How do I deal with the summations correctly whose upper or lower bounds are symbolic?

I'm new to Wolfram Mathematica and I want to calculate the expression of s (with respect to n) to get the same result as this ...
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### How can I plot a solution obtained from Stats.SE? [closed]

I am trying to implement a solution I got from stats.stackexchange.com in Mathematica, but I must be doing something wrong, because the output I am getting and the accepted answer from stats....
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### Wilf-Zeilberger simplification

I am working my way through the book "A=B" and doing some of the problems. One of them was to prove that: $$\frac{1}{{n+x \choose n+r}} \sum_{k=0}^n{n \choose k}{x\choose k+r}=1$$ I am able to ...
648 views