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Question-213991




Question Number 213991 by Spillover last updated on 23/Nov/24
Answered by MathematicalUser2357 last updated on 28/Nov/24
Then K is Σ_(r=1) ^n (((−1)^r ∙Π_(i=1) ^(r−1) (1−2i))/(2^(3r+1) ∙(2r+1)∙r!))
$$\mathrm{Then}\:\mathrm{K}\:\mathrm{is}\:\underset{{r}=\mathrm{1}} {\overset{{n}} {\sum}}\frac{\left(−\mathrm{1}\right)^{{r}} \centerdot\underset{{i}=\mathrm{1}} {\overset{{r}−\mathrm{1}} {\prod}}\left(\mathrm{1}−\mathrm{2}{i}\right)}{\mathrm{2}^{\mathrm{3}{r}+\mathrm{1}} \centerdot\left(\mathrm{2}{r}+\mathrm{1}\right)\centerdot{r}!} \\ $$

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