10, 1,000, 100,000, 10,000,000 What power of 10 is the 80th term?

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

  1. math_celebrity

    math_celebrity Administrator Staff Member

    10, 1,000, 100,000, 10,000,000
    What power of 10 is the 80th term?

    We see the following pattern
    10^1 = 10
    10^3 = 1000
    10^5 = 100,000
    10^7 = 10,000,000

    f(n) = 10^(2n - 1)

    We build the 80th term:
    f(80) = 10^(2(80) - 1)
    f(80) = 10^(160 - 1)
    f(80) = 10^159
     

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