Series Demystified 10

Algebra Level 4

∑ n = 1 50 n 2 + n − 1 ( n + 2 ) ! \sum_{n=1}^{50}\frac{n^{2}+n-1}{(n+2)!} = 1 M − N ( S ! ) \frac{1}{M}-\frac{N}{(S!)} where N,S are positive co-prime integers . Find M + N + S M+N+S .


The answer is 105.

Shivam Jadhav by Shivam Jadhav , 22, India

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1 solution

汶良 林
Aug 12, 2015

13 Helpful 0 Interesting 0 Brilliant 0 Confused

Excellent solution, with an excellent question @Shivam Jadhav

Swapnil Das - 5 years, 2 months ago

Did the same. Nice problem

Aditya Kumar - 5 years ago

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