* What is the average of the first n positive even numbers?

3 answers

pair them up

2,2n
4,2n-2
6,2n-4
...
What is the average of each pair?

Or, consider their sum:
2+4+...+2n
= 2(1+2+...+n)
= 2*n(n+1)/2
= n(n+1)

So, what is the average of that sum?
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