1, 1/2, 1/4, 1/8, 1/16, ...

Discussion in 'Calculator Requests' started by math_celebrity, Dec 19, 2023.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    At first glance, we see powers of 2 in the denominator of every term except the first one.

    But if we remember 2^0 = 1, we get our breakthrough.

    1/2^0 = 1/1 = 1

    Therefore, we stagger the powers of 2 by 1 less than the term we are on:
    a(n) = 1/2^(n - 1)

     

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