The average of the first 18 positive multiples of 7 is:
Correct Answer :
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:
Substituting the values of the first term and the last term into the formula:
Simplifying the numerator:
Dividing 133 by 2 yields:
Therefore, the correct option is 66.5.
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