Answer :

To find the average of the first 126 odd natural numbers, we can use a formula for the average of a sequence of odd numbers.

The odd numbers sequence can be represented as:

1, 3, 5, 7, ...,

In general, the [tex]n[/tex]-th odd number is given by the formula:

[tex]a_n = 2n - 1[/tex]

So, the first 126 odd numbers are:

1, 3, 5, ...,

To find the sum of the first [tex]n[/tex] odd numbers, we use the formula:

[tex]\text{Sum} = n^2[/tex]

For [tex]n = 126[/tex], the sum of the first 126 odd numbers is:

[tex]126^2 = 15876[/tex]

Now, the average of these numbers is the sum divided by the number of terms, so:

[tex]\text{Average} = \frac{15876}{126}[/tex]

Calculating this gives:

[tex]\text{Average} = 126[/tex]

Therefore, the average of the first 126 odd natural numbers is 126.

The correct multiple-choice option is: B) 126.

Thanks for taking the time to read Q10 What is the average of the first 126 odd natural numbers A 126 5 B 126 C 125 5 D 127. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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