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What is the sum of all even numbers from 0 to 2n, for any positive integer n?

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Last Modified: 2012-06-22
The instructor from my online course went over this but unfortunately I couldn't understand his answer due to his think accent.

What is the sum of all even numbers from 0 to 2n, for any positive integer n?
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Commented:
sum(k) for k = 1..L =    L (L+1) / 2

But you want

sum (2k) for k = 1..2N
= 2 + 4+ 6 + ... + 2N
= 2( 1 + 2 + 3 + ... + N)

So, the rest should be easy to finish.

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Commented:
I believe he said that it was n(n+1) ..Is that correct?
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