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# What is the average of 7 consecutive numbers if the smallest number is called n?

##### Administrator

**Staff member**

What is the average of 7 consecutive numbers if the smallest number is called n?

- First number = n
- Second number = n + 1
- Third number = n + 2

- Fourth number = n + 3

- Fifth number = n + 4

- Sixth number = n + 5

- Seventh number = n + 6

Average = Sum of all numbers / Total numbers

Average = (n + n + 1 + n + 2 + n + 3 + n + 4 + n + 5 + n + 6)/7

Average = 7n + 21/7

Factor out a 7 from the top:

7(n + 3)/7

Cancel the 7's:

**n + 3**