Questions tagged [sum]
The sum tag has no usage guidance.
7
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Sum with conditions and iterations
I need to use Sum in a unique way. Say we have a number $N$ passed in, I want to calculate and add all these series:
$$N^2$$
plus
$$
1+2+\cdots+(N-1)+ \\
1+2+\cdots+...
- 637
2
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2
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Summation not returning a timely result
Why is Mathematica v12 spinning on this series:
FullSimplify[Sum[16^x/((16^x) + 4), {x, 1/2025, 2024/2025, 1/2025}]]
The answer works out to 1012.
Is there another ...
- 637
5
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1
answer
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Mathematica failing to evaluate sum
I have some sums to simplify/evaluate, but for some reason I can't even get Mathematica to simplify relatively simple sums. For example, I tried to get Mathematica to simplify this sum:
$$\sum_{k=0}^{...
- 51
3
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2
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Break summation into component summations
I'm trying to compute analytically the following infinite sum:
Sum[Exp[-x^2] HermiteH[10,x], {x, -\[Infinity], \[Infinity]}]
In version 13.1, the output is ...
- 42.1k
11
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Why does Mathematica not recognize a convergent series?
Bug introduced in 12.1, persisting through 13.2 or later
In one of my program run on Wolfram Cloud I run the command:
Sum[(-1)^(Floor[k/2])/(k+1),{k,0,Infinity}]
...
- 719
1
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0
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Can symbolic sums of indexed arrays be simplified?
As a simple example, is it possible to simplify say
Sum[Indexed[x, i], {i, 1, n}] == Indexed[x, n] + Sum[Indexed[x, i], {i, 1, n - 1}]
If not, please explain ...
- 13.8k