Question

The arithmetic mean of first n odd natural numbers is

• A.
• B.
• C.
• D. none of these

Answer 1

The correct option is D none of these

$Thefirstnoddnaturalnumbersare1,3,5,....(2n-1)sumofthesenumbers\sum x=1+3+5+.....+(2n-1)=\frac{n}{2}[1+(2n-1\left)\right]=\frac{n}{2}\left(2n\right)=n^{2}Thus,\overline{x}=\frac{1}{n}\sum x=\frac{n^2}{n}=n$