Evaluate this summation

$\displaystyle \sum^{99}_{n=0}2^n(100C(n+1))$

100C(n+1) is meant to be combinatorics C(100,n+1)

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- Nov 17th 2010, 04:48 AMhookeEvaluate this summation
Evaluate this summation

$\displaystyle \sum^{99}_{n=0}2^n(100C(n+1))$

100C(n+1) is meant to be combinatorics C(100,n+1) - Nov 17th 2010, 05:43 AMPlato
Here is a hint: $\displaystyle \displaystyle 3^{100}=(2+1)^{100}=\sum\limits_{n = 0}^{100} {\binom{100}{n}2^n} $.