SOLUTION: sn:1+3+5+***(2n-1)=n squared varify its a true statement
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Question 474337: sn:1+3+5+***(2n-1)=n squared varify its a true statement
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Use induction. The base case n = 1 works. For n >= 2, if
 = n^2)
holds, then the n+1 case works, i.e.
 = \sum_{i=1}^n (2n - 1) = n^2 + (2(n+1) - 1) = n^2 + 2n + 1 = (n+1)^2)
Hence, if the identity holds for n, it will hold for n+1 and we are done.
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