I snap my fingers once. I wait one second and snap them again. I wait two seconds and snap them a third time. I wait four seconds and snap them again. I wait 8 seconds and snap them again. If this pattern continues, how many times will I snap my fingers in a year?

Thanks!

3 answers

1+2+4+...2^n up to a year in seconds.
That looks like the sum of a geometric series, where r=2
Use that formula, you know the sum is 1*365*24*3600...find the number of terms.
it looks like you could just solve for
2^x=(1*365*24*3600)
=>xln(2)=ln(1*365*24*3600) =>
x=ln(1*365*24*3600)/ln(2)
oh and at 1 for the series begining at 1 not zero. appoximately 26 times.
Rhythm
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