math
posted by Serpentlord123 .
You offer to do the dishes for your family for the next month.This month has only 31 days. You suggest that they can pay you in one of three ways:
A. $0.50 each day.(I already did this;=$15.50 a month.
B.$0.10 the first day,$0.20 the second day,$0.30 the third day,and so on.
C.$0.01 1st day,$0.02 2nd day,$0.04 3rd day,doubling each time.
Which rate of pay would be best for you?
Comments
I already know the 1st and 2nd choices,but to calculate the 3rd one one by one seems a bit overrated.
So...I was wondering if there is a sort of pattern for doubling like in the third choice?
Thanks,
Serpentlord123

You get .01 for the first day, .02 for the second, then keep doubling. However, they might fire you after the first dozen days or so.
It is a logarithmic progression in contrast to the second, which is an arithmetic progression.
1 + 2^30 = ?
In currency terms = .01 + .02 + .04 + .08 + .16 + .32 + .64 + 1.28 + 2.56 + 5.12 + 10.24 + 20.48….