If I gave you one dollar on the first day of the month, then doubled your money everyday. How much w

If I gave you one dollar on the first day of the month, then doubled your money everyday. How much would you have at the end of the month axproximitly?

Just wanting know your answer. Cheers

what's your answer?

$ 536,870,913.00 for a 30 days month.

$1,073,741,825.00 for a 31 days month.

2 to the (n-1) power where n is the number of days in the month

Yes, but you need to add 1...

Why? 1 doubled is 2 -- I'm just starting from the second day.

Why is that? Riddle says to "double your money".

1, 2, 4, 8, 16, ...

Think again: first day you don't double, you just give a dollar.

You double the second day, meaning you give another dollar..

1, 1, 2, 4, 8,....

That's how much money you earn but if you sum it, it comes to an even number.

I don't think that's what it says. It says double your money ever day after the first. Double a dollar is 2 dollars. 1,2,4,8,... like Drewdad said.

You don't earn the sum of all days' money?

Weird...

Ah. So that's what he meant.

However, you were given a dollar the first day..

But who gives a damn about one dollar?

I know. 2 to the 0 power is 1. The first day is 2 to the 0, the second day is 2 to the 1, the third is 2 to the 2, etc... so that by the 30th (or 31st, or 28th or 29th) you have 2 to the (30-1) (n-1 where n is the number of days).

Not sure what you mean, Francis.

The total amount of money you'd have at the end of each day would be double the amount you had the day before. That always ends up an even number, except for the first day.

Doesn't matter if you're given the money or you earn it.

Day 1: Start with $1.
Day 2: Earn/Receive $1, end with $2
Day 3: Earn/Receive $2, end with $4
Day 4: Earn/Receive $4, end with $8
...
Day 30: Earn/Receive $268,435,456, end with $536,870,912