Q. 265.0( 3 Votes )

The mean of first n odd natural number is
A.

B.

C. n

D. n2

Answer :

We know that mean or average of observations, is the sum of the values of all the observations divided by the total number of observations.


and, we have first n odd natural numbers as


1, 3, …, 2n - 1


Clearly the above series is an AP(Arithmetic progression) with


first term, a = 1 and


common difference, d = 2


And no of terms is clearly n.


And last term is (2n - 1)


We know, sum of terms of an AP if first and last terms are known is:



Putting the values in above equation we have sum of series i.e.


…[1]


As,


Mean


Mean

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