Make easy money

A transaction consists of losing x x (where x is an integer) number of dollars and after x x days, receiving 3 times as much money as was lost. If on the morning of day 1, John has 1 dollar and every day he makes a transaction , what is the maximum amount of money that John can have at the end of the 10th day?


The answer is 40.

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2 solutions

Could you somehow elaborate?

Ken Jan - 6 years, 1 month ago
Trevor Arashiro
Apr 16, 2015

Invest x 2 \lceil \frac{x}{2} \rceil everyday where x is the amount of money you have. A proof of this would be nice.

Moderator note:

A proof of this would certainly be nice.

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