perplexus.info :: Sequences : 1248 must be included

1248 must be included (Posted on 2016-09-06)

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.

Submitted by Ady TZIDON

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Solution: (Hide)

See Steve Herman’s analytic solution.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Analytical solution - kudos	Ady TZIDON	2016-09-07 01:26:28
Analytical solution	Steve Herman	2016-09-06 10:54:23
Brute force (computer solution)	Charlie	2016-09-06 10:19:42

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