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1248 must be included (Posted on 2016-09-06) Difficulty: 2 of 5
There are three infinite arithmetic progressions.
Given that each of the numbers 1,2,3,4,5,6,7,8 occurs at least in one of these progressions, show that the number 1248 must occur at least in one of them.

See The Solution Submitted by Ady TZIDON    
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Some Thoughts re: Analytical solution - kudos Comment 3 of 3 |
(In reply to Analytical solution by Steve Herman)

Excellent reasoning!
  Posted by Ady TZIDON on 2016-09-07 01:26:28

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