Question Details

The average of the first 18 positive multiples of 7 is:

Options

A

18

B

63

C

66.5

D

7

Show Answer

Correct Answer :

Option C

66.5

66.5

Solution :

To find the average of the first 18 positive multiples of 7, we can use the properties of arithmetic progressions.

The first 18 positive multiples of 7 are:
7, 14, 21, ..., 7 * 18

This sequence forms an arithmetic progression (AP) where:
- The first term (a) is 7.
- The last term (l) is 7 * 18 = 126.
- The total number of terms (n) is 18.

The average (arithmetic mean) of an arithmetic progression can be calculated using the formula:
Average=a+l2

Substituting the values of the first term and the last term into the formula:
Average=7+1262

Simplifying the numerator:
Average=1332

Dividing 133 by 2 yields:
Average=66.5

Therefore, the correct option is 66.5.

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