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The average of first 124 odd natural numbers, is:
Question

The average of first 124 odd natural numbers, is:

A.

124

B.

125

C.

123.5

D.

124.5

Correct option is A

Given:

The first 124 odd natural numbers.

Concept Used:

The sum of the first n odd natural numbers is given by the formula:

Sn=n2S_n = n^2​​

where n is the total number of terms.

The first term a = 1

The common difference d = 2

Solution:

Sum of the first 124 odd natural numbers:

S=1242S = 124^2​​

Average =Sn \frac{S}{n}​ =1242124=124= \frac{124^2}{124} = 124​​

The average of the first 124 odd natural numbers is 124

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