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

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

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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
 
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