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The average of n natural odd numbers is _____, where n is odd.
Question

The average of n natural odd numbers is _____, where n is odd.

A.

n + 1

B.

n+12\frac {n + 1 }{2}​​

C.

n

D.

n2\frac {n }{2}​​

Correct option is C

Given:
n natural odd numbers.

Concept Used:
Odd numbers form an arithmetic progression: 1, 3, 5, ...

Formula Used:
Average of n terms of an AP:

Average=Middle term (since n is odd).\text{Average} = \text{Middle term (since } n \text{ is odd)}. ​​

Solution:
For n odd numbers, the middle term is n.

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