Math Help -> 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 http://www.shepherd.edu/mathweb/solution9.html.

Click here for the answer.

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