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Pigeons again (Posted on 2012-07-22) Difficulty: 3 of 5
If a n-term arithmetic progression is split into two sets, then at least one of the sets contains a 3-terms arithmetic progression .

For what minimal value of n the above statement is true?

Based upon a proof in V. K. Balakrishnan's Theory and Problems of Combinatorics, Schaum's Outline Series, McGraw-Hill, 1995, 1.110

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsI agreebroll2012-07-23 00:48:23
SolutionnMath Man2012-07-22 12:55:40
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