(Introductory Real Analysis) - This isn't actually the problem I'm being asked to do, but it's part of it; I'm trying to find the formula for the sum of all even integers, and the way I'm doing it conceptually makes sense to me, but isn't working out mathematically. Why?

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How do you know the sum of even numbers is \(n(n+1)\) ?

don't you think it must depend on whether \(n\) is odd or even ?

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