A wealthy aunt tells you that you can choose one of the following:
Option 1: During a period of 15 days, she will give you one dollar the first day, give you double that the second day, give you double the second on the third day and so on.
Option 2: She will give you $32,767.
Which option would give you more money, 1 or 2?

Option 1

Option 2

Both options are the same amount.

Question

A wealthy aunt tells you that you can choose one of the following: 
Option 1: During a period of 15 days, she will give you one dollar the first day, give you double that the second day, give you double the second on the third day and so on.
Option 2: She will give you $32,767.
Which option would give you more money, 1 or 2?
 
		
Option 1
 		
Option 2
 		
Both options are the same amount.

anonymous · Answer

fist option is $1+2+2^2+2^3+...+2^{14}=2^{15}-1$ which is probably much larger but you can check with a calculator

anonymous · Answer

lol they are identical!

anonymous · Answer

sorry im confused

precal · Answer

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keep working out the table until you get to the 15th day, add up your $ column