Posted by **Erica** on Tuesday, March 13, 2012 at 7:21pm.

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 -
**Steve**, Wednesday, March 14, 2012 at 10:25am
seconds in a year = 31,536,000

After n snaps, Sn = 2^n - 1 seconds have passed.

So, what is log_{2}31536000?

That is 24.9

So, there will be 24 snaps in the year.

25 snaps would require 2^25 = 33554432 seconds.

- Math - PS -
**Steve**, Wednesday, March 14, 2012 at 10:27am
Actually, that does not count the snap that starts the events. So, add 1, making 25 snaps.

- Math - PPS -
**Steve**, Wednesday, March 14, 2012 at 10:30am
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 = log_{2}

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

- Math -
**Erica**, Wednesday, March 14, 2012 at 4:44pm
thanks steve

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