prove that $2n^2 - 2n$ is never an odd number.
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An odd number can be represented as 2k + 1, where k is an integer. So, we can write 2n^2 + 2n = 2k + 1. Now, let's simplify the equation. 2n^2 + 2n = 2k + 1 2n(n + 1) = 2k + 1 Since 2n(n + 1) is an even number (as it is the product of two even numbers), Show more…
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