The arithmetic mean of first n natural number - Vidyadip

MCQ

The arithmetic mean of first $n$ natural number

A
$\frac{{n - 1}}{2}$
✓
$\frac{{n + 1}}{2}$
C
$\frac{n}{2}$
D
$n$

✓

Answer

Correct option: B.

$\frac{{n + 1}}{2}$

b
(b) $A.M. $$ = \frac{{1 + 2 + 3 + ...... + n}}{n} = \frac{{\frac{1}{2}n(n + 1)}}{n} = \frac{{n + 1}}{2}$.

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