Q. The arithmetic mean of first $n$ odd natural number is
A) $n^{2}$
B) $2n$
C) $n$
D) $3n$
Explanation
(c)
Let $S_{n} = 1 + 3 + 5 + ... + (2n - 1)$
$= \frac{n}{2}\left\lbrack 1 + (2n - 1) \right\rbrack = n^{2}$
$\therefore$ Arithmetic mean $= \frac{n^{2}}{n} = n$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.