(n^2)-n+2 is even

How do I set up the problem to equal an even number?

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- May 16th 2011, 04:50 PMlrbProve true through mathematical induction
(n^2)-n+2 is even

How do I set up the problem to equal an even number? - May 16th 2011, 05:00 PMSudharaka
- May 17th 2011, 02:41 AMemakarov
It's easy to show this without induction: n^2 - n + 2 = n(n - 1) + 2, and one of n or n - 1 is even.

To do it using induction, follow the outline in this post.