Question

The arithmetic mean of first n odd natural numbers is
A. n-1/2 B.n-2/2 C.n+1/2 D.n+2/2

Answer 1

Answer:

The arithmetic mean of first n odd natural number is n.

Explanation

First n odd natural number are 1,3,5,...n

This is an A.P.

Here a = 1. d = 2

Sum of n terms = Sn = (n/2)(2a+(n-1) d

=(n/2)(2+(n-1) 2)

= (n/2) 2n

= n2

Arithmetic mean = Sum /no. of terms

=n2/n

=n