The mean deviation from the mean of the AP: a,a+d, a+2d,...,... | Mathematics | SolveeIt | Solveeit

Today, August 23

Question

The mean deviation from the mean of the AP: a,a+d, a+2d,..., a+2nd, is

A

n(n+1)d

B

$\frac{n(n+1)}{2n+1}d$

C

$\frac{n(n+1)}{2n}d$

D

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

Answer

$\frac{n(n+1)}{2n+1}d$

Explanation

Solution

The correct answer is(B): $\frac{n(n+1)}{2n+1}d$