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Sequencing problems (Posted on 2004-10-01) Difficulty: 2 of 5
Consider a sequence of integers in arithmetical progression: A, A+B, A+2B, A+3B, ... A+NB.

Systematically pick any two adjacent numbers, and randomly replace them by their sum or difference. Keep at this until only one number remains. Is this number odd or even? What's the largest value this number can attain?

See The Solution Submitted by Federico Kereki    
Rating: 3.1667 (6 votes)

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  Posted by andrew martin on 2023-09-14 03:56:26
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