Binomial Theorem: 11 Terms Explained

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Ananya0107
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Any hints for this
: 1- (11C1/2.3 ).2^2 + (11C2/3.4 ). 2^3 ...so on up to 12 terms .
 
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We have to find the sum...
 
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[tex](1-x)^n[/tex] 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?