SOLUTION: Prove that none of the terms of this sequence are perfect squares. :2;5;8;....

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Question 1067829: Prove that none of the terms of this sequence are perfect squares. :2;5;8;....
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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All terms of this sequence give (produce) the remainder 2 when divided by 3.

Had it be a perfect square, it would produce the remainder 0 or 1 when divided by 3.

Proved and solved.