One night you put a quarter into a slot machine and get back two quarters. The next night, you put these two quarters back in the machine one at a time, and each time two quarters came out. This pattern continued through the sixth night, after which you took your winnings and went home. How much money did you take home?
A)64 quarters
B)48 quarters
C)32 quarters
D)16 quarters

Question

Quizplus · Accepted Answer

On the first night, you put in 1 quarter and got back 2 quarters. On the second night, you put those 2 quarters in one at a time, doubling each to 4 quarters. This doubling process continues each night. On the third night, you'd have 8 quarters, on the fourth night 16 quarters, on the fifth night 32 quarters, and on the sixth night, you'd double the 32 quarters to 64 quarters.

One Night You Put a Quarter into a Slot Machine