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?

(In reply to Answer by Old Original Oskar!)

This was a very well laid out problem. It gets your mind done.

Posted by keisha on 2004-10-01 14:05:45