Hello, I've read everything I can on induction for the most part it makes sense, but I'm having trouble with this summation problem:

SUM from i = 1 to n: (-1)^(i+1)(i^2) = [ (-1)^(n+1) n(n+1) ] / 2

(I dont know latex...yet)

Basis step:

1 = 1 check

Inductive step:

plugging in n+1 and trying to solve I can't seem to get anywhere...

Please point me in the right direction

Thank-you for any help!!

jeremywho