Telescopic Series

Calculus Level 4

n=11(n+1)(n+2)(n+3)(n+4)=ab\sum _{ n=1 }^{ \infty }{ \frac { 1 }{ (n+1)(n+2)(n+3)(n+4) } } =\frac { a }{ b } aa and bb are co-prime integers. Find a+ba+b.

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