Evaluating a summation

Calculus Level 3

If \[\sum \limits_{k=1}^{101} \frac{(-1)^{k-1} \binom{100}{k-1}}{k+1} = \frac{a}{b}\] for some coprime positive integers \(a\) and \(b\), find the last three digits of \(a+b\).

×

Problem Loading...

Note Loading...

Set Loading...