1.

If C_(r) stands for ""^(n)C_(r) then the sum of the series (2(n/2)!(n/2)!)/(n!)[C_(0)^(2)-2C_(1)^(2)+....+(-1)^(n)(n+1)C_(n)^(2)] where n is an even positive integer, is equal to:

Answer»

0
`(-1)^(N//2)(n+1)`
`(-1)^(n//2)(n+2)`
`(-1)^(n)n`

ANSWER :C


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