The arithmetic mean of first `n` odd natural numbers, is

Options

A. `n^(2)`
B. 2 n
C. n
D. 3 n

Answer

c

Explanation

Let ` S_(n) = 1 +3 +5 + …+ (2n-1)=n/2 [1+(2n-1)] =n^(2)`
` :. "Arithmetic mean" = (n^(2))/n = n`