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

Math  PPS 
Steve,
Belay that prior comment
snaps seconds
1 0
2 1
3 3
4 7
5 15
n 2^(n1)  1
So, 2^(n1) = 31536001
n1 = log_{2}
so, there will be 25 snaps, but for a different reason. 
Math 
Erica,
thanks steve