This problem came to my intentions when I was attempting to find the answer in https://www.physicsforums.com/showthread.php?t=263571".(adsbygoogle = window.adsbygoogle || []).push({});

The sum of the sequences of a series can be calculated if the series is:

a) Arithmetic Progression by ~ [tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]

b) Geometric progression by ~ [tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

My question is, are formulas or basic ideas needed to used to find the product of the series, rather than the sum.

e.g. [tex]1+2+3+...+(n-1)+n=\frac{n^2+n}{2}[/tex]

However, what about:

[tex](1)(2)(3)...(n-1)(n)=x[/tex] where x is the product in terms of n.

I am not looking for the answer, but would appreciate if anyone shows how to approach this problem; rather than the usual guesses I've been taking...

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# Sum of product

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