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 Skip Navigation LinksMath Help > Math Puzzles > Sum of Series

Sum of Series

Problem

Let n be a positive integer. Prove that
 
n n(n-1) n(n-1)...(1)
———  -  —————  + ... + (-1)n-1( ————————— )  =  1/2
(n+1) (n+1)(n+2) (n+1)(n+2)...(2n)

This problem comes from a non-longer extant page of www.shepherd.edu/mathweb/.

Click here for the answer.

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