perplexus.info :: Just Math : Odd Sum

Odd Sum (Posted on 2002-08-08)

Prove that the sum of consecutive odd numbers beginning at 1 (eg 1, 3, 5, ..) always adds up to a perfect square

See The Solution Submitted by Cheradenine

Rating: 3.9000 (10 votes)

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What, me worry?

| Comment 16 of 19 |

I am not clear why all of these proofs, including the posted solution, are so complicated.

The first n odd terms have an average value of n, so their sum = (# of terms) * (average value) = n*n = n^2

Posted by Steve Herman on 2014-11-17 21:28:48

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