What is the mean of first $n$ odd natural numbers?

n

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(n + 1) / 2

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n (n + 1) / 2

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n + 1

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Solution

The correct option is A $n$
According to problem:
$a = 1$
$d = 2$
$∴ S_{n} = \frac{n}{2} [2 a + (n - 1) d]$
$= \frac{n}{2} [2 + 2 n - 2]$
$= n^{2}$
$∴ M e a n = \frac{S_{n}}{n} = \frac{n^{2}}{n} = n$

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