# Binomial theorem

Any hints for this
: 1- (11C1/2.3 ).2^2 + (11C2/3.4 ). 2^3 .....so on up to 12 terms .

We have to find the sum...

Mentallic
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$$(1-x)^n$$ and consider this expansion when x=2 and n=11. Now take the integral of the expansion, do you see a pattern emerging? Can you take it from there?

Yes, thanks