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Question

Question: The arithmetic mean of first n natural number....

The arithmetic mean of first n natural number.

A

n−12\frac { n - 1 } { 2 }

B

n+12\frac { n + 1 } { 2 }

C

n2\frac { n } { 2 }

D

nn

Answer

n+12\frac { n + 1 } { 2 }

Explanation

Solution

A.M. =1+2+3+……+nn=12n(n+1)n=n+12= \frac { 1 + 2 + 3 + \ldots \ldots + n } { n } = \frac { \frac { 1 } { 2 } n ( n + 1 ) } { n } = \frac { n + 1 } { 2 }.