9, 3, 1, 1/3, 1/9 What is the next number in this sequence? What is the function machine for this se

Discussion in 'Calculator Requests' started by math_celebrity, Feb 5, 2023.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    9, 3, 1, 1/3, 1/9
    What is the next number in this sequence?
    What is the function machine for this sequence?

    We see the following pattern in this sequence:
    9 = 9/3^0
    3 = 9/3^1
    1 = 9/3^2
    1/3 = 9/3^3
    1/9 = 9/3^4

    Our function machine formula is:
    f(n) = 9/3^(n - 1)

    Next term is the 6th term:
    f(6) = 9/3^(6 - 1)
    f(6) = 9/3^5
    f(6) = 9/243
    f(6) = 1/27
     

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