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**maxgunn555** By Induction prove

$\displaystyle \Gamma (n+\frac{1}{2})\ =\ \frac{1.3.5\cdots (2n-1)}{2^n}\sqrt{\pi} $

Recall $\displaystyle \Gamma (\frac{1}{2})\ =\ \sqrt{\pi}$

I know proof by induction is something to do with putting a +1 by the n's however i am fairly clueless as to this example. Thanks.

ps: the dots between 1.3.5 represent multiplying 1 3 and 5. and the dots after are meant to symbolise a series continuing. i'm also a bit confused as to what that series is... 1, 3, 5 perhaps it's just a difference of two each time?