The arithmetic mean of first n odd natur...

The arithmetic mean of first `n` odd natural numbers, is

A

n

B

`(n)/(2)`

C

`(n-1)/(2)`

D

`(n+2)/(2)`

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The correct Answer is:

A

First n odd natural numbers are
`1,2,3,5, … , (2n-1).`
So, required mean `=(1+3+5+ …+(2n-1))/(n)`
`rArr " Required Mean "=((n)/(2){1+2n-1})/(n)=n`.

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