Question Details

Find the average of natural numbers from  1  to  69  (both included).

Options

A

31

B

33

C

35

D

37

Show Answer

Correct Answer :

Option C

35

Solution :

The correct option is 35.

To find the average of natural numbers from 1 to 69 (both included), we use the formula for the average of the first n natural numbers.

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

Sum = n ( n + 1 ) 2

Therefore, the average of the first n natural numbers is:

Average = Sum n = n + 1 2

Here, the number of terms n=69.

Substituting n=69 into the formula:

Average = 69 + 1 2

Average = 70 2 = 35

Thus, the average of natural numbers from 1 to 69 is 35.

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