(n^2)-n+2 is even
How do I set up the problem to equal an even number?
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Originally Posted by lrb (n^2)-n+2 is even
How do I set up the problem to equal an even number? Dear lrb,
Since an even number is a number which can be divided by two, you can write any even number by 2k where k is an integer. Hope you can continue.
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.
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