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