Hi everyone!

Can anyone tell me how to solve problems of double summation?

What are tricks to solve them? For instance how to solve this problem:

\[\sum_{ω=1}^{\infty}\sum_{n=1}^{\infty}\frac{ω^{2}n}{3^{n}(n(3^{ω})+ω(3^{n}))}\] Also help with generalised methods .

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## Comments

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TopNewestNot every double sum has a closed form, just as not every single summation has a closed form. Many summation solutions are ad hoc.

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What is ad hoc? Can you explain me general properties to solve double summation using an example?

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"Ad hoc" is a term used to describe methods/solutions that are non-generalizable and applicable to a particular case.

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