SOLUTION: Using mathmatical induction(two step process),, prove the formula 3+5+7...+(2n+1)=n(n+2).

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Question 375279: Using mathmatical induction(two step process),, prove the formula 3+5+7...+(2n+1)=n(n+2).
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
3+5+7...+(2n+1)=n(n+2)

n=1 : 2n+1=3, n(n+2)=3


n->n+1 let 3+5+...+(2n+1) = n(n+2)

3+5+...+(2n+1)+(2n+3) = n(n+2) + 2n+3 = n^2 + 2n + 2n + 3 = n^2 +4n+3

=(n+3)(n+1)

which is n(n+2) with n->n+1, thus the formula is correct.