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Question

The mean of first n odd natural numbers is n281, then n =
(a) 9
(b) 81
(c) 27
(d) 18

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Solution

The first n odd natural numbers are 1, 3, 5, ... , (2n − 1).

∴ Mean of first n odd natural numbers

=1+3+5+...+2n-1n=n21+2n-1n Sn=n2a+l=2n2=n

Now,
Mean of first n odd natural numbers = n281 (Given)
n=n281n=81

Hence, the correct option is (b).


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