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Binomial Proof Question (1 Viewer)

Thread starter kev-kun
Start date Mar 22, 2014

K

kev-kun

Member

#1

$Prove\ that\ \sum_{k=0}^{n} ^{n}C_{k}\ 2^{3k}=3^{2n}$

Also are we allowed to use induction or?

I

iStudent

Well-Known Member

#2

use the binomial expansion for (1+x)^n
and set x = 2^3
then you should see the answer around the corner

(note - 3^2k = 9^k)

K

kev-kun

Member

#3

Oh wow... haha thank you for that

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