Question

Find the average of the first n positive even numbers

Answer 1

the sum of first n positive even numbers is an arithmetic series with first term and difference 2, then the average is

$\frac{\frac{n(2(2)+(2(n-1))}{2}}{n}\\=\frac{2(2)+2(n-1)}{2}\\=2+n-1=n+1$