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1 mark

What is the average of all the numbers between 7 and 56 that are divisible by 6?

  1. A
    37.5
  2. B
    33
  3. C
    36
  4. D
    30

Solution & Step-by-step Explanation

The numbers between 7 and 56 that are divisible by 6 form an Arithmetic Progression (AP).
First term (a) = 12

Last term (l) = 54

Common difference (d) = 6

For any Arithmetic Progression, the average is simply the mean of the first and last terms:

Average=
2
a+l
​

Average=
2
12+54
​
=
2
66
​
=33

Practice this question

Try it yourself before checking the explanation above.

What is the average of all the numbers between 7 and 56 that are divisible by 6?
A
37.5
B
33
C
36
D
30

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arithmetic progressionaveragesdivisibility

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