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March 28, 2017

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I snap my fingers now. in one second, i snap them again. I wait two seconds and snap them a third time. I wait four seconds before snapping them again. then i wait eight seconds, then sixteen, and the pattern continues on. the interval between snaps doubles each time How many times will i snap my fingers during the next year?

  • Math - ,

    seconds in a year = 31,536,000
    After n snaps, Sn = 2^n - 1 seconds have passed.

    So, what is log231536000?
    That is 24.9

    So, there will be 24 snaps in the year.
    25 snaps would require 2^25 = 33554432 seconds.

  • Math - PS - ,

    Actually, that does not count the snap that starts the events. So, add 1, making 25 snaps.

  • Math - PPS - ,

    Belay that prior comment
    snaps seconds
    1 0
    2 1
    3 3
    4 7
    5 15
    n 2^(n-1) - 1

    So, 2^(n-1) = 31536001
    n-1 = log2

    so, there will be 25 snaps, but for a different reason.

  • Math - ,

    thanks steve

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