Reference

$1$

$$in the Wheat and Chessboard Wikipedia page lists an article entitled "A Penny Doubled Every Day for

$3$

$0$

$$Days

$=$

$$$

$1$

$0$

$.$

$7$

M

$"$

$.$

$$It turns out that $

$1$

$0$

$.$

$7$

M is an approximate total. Using your compound

$\_$

by

$\_$

period function, compute exactly how much money you would have if you started with a penny

$($

$

$0$

$.$

$0$

$1$

$)$

$$and doubled it every day for

$3$

$0$

$$days$.$ Assign this total after

$3$

$0$

$$days to a variable named total

$\_$

after

$\_$

$3$

$0$

$.$

Note: this is a little bit different than the wheat and chessboard problem, because there the amount of wheat being placed on a square was doubled every day, but the total amount of wheat on the board is the cumulative sum over all squares up to the current one. The penny

$-$

doubled

$-$

every

$-$

day problem is just a more conventional problem in compound interest, where the balance gets rolled over from day

$-$

to

$-$

day.