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Odd Sum (Posted on 2002-08-08) Difficulty: 2 of 5
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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Solution What, me worry? | Comment 16 of 17 |
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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