1/2, 3, 5&1/2, 8......203 What term is the number 203?

Discussion in 'Calculator Requests' started by math_celebrity, Feb 4, 2023.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    1/2, 3, 5&1/2, 8......203
    What term is the number 203?

    We see the following pattern:
    1/2 = 2.5*1 - 2
    3 = 2.5*2 - 2
    5&1/2 = 2.5*3 - 2
    8 = 2.5*4 - 2

    We build our function
    f(n) = 2.5n - 2

    Set 2.5n - 2 = 203

    Using our equation solver, we get:
    n = 82
     

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