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

Discussion in 'Calculator Requests' started by math_celebrity, Jan 8, 2023.

  1. math_celebrity

    math_celebrity 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
     

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