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Two Geometric Series (Posted on 2003-07-14) Difficulty: 2 of 5
Find a geometric series of 3 or more positive integers, starting with 1, such that its sum is a perfect square.

See if you can find another such series.

See The Solution Submitted by Brian Smith    
Rating: 3.6667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
after some quick programming... | Comment 6 of 10 |
If my program works correctly, my two solutions are the only ones resulting in a square smaller than 10,000,000, so it seems they are the only ones.
Maybe someone can find a proof that those are indeed the only solutions.
  Posted by exoticorn on 2003-07-14 06:58:54
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