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) (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.
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