One night I put a silver dollar in a slot machine and got back two silver dollar

Question

One night I put a silver dollar in a slot machine and got back two silver dollars. On the second night, I put these two dollars back in the machine one at a time, and each time two silver dollars came out. This pattern continued through the seventh night, after which I took my winnings and went home.

(a) How much money did I take home?
$

(b) How many silver dollars were fed into the machine?
silver dollars

Explanation / Answer

Dear Student Thank you for using Chegg !! Night Number of Dollars Invested Final Number of Dollars 1 1 2 2 2 4 3 4 8 4 8 16 5 16 32 6 32 64 7 64 128 a) => Number of Dollars after seventh night is 128 Hence I took 128 Dollars to take home. b) Number of silver dollars fed into machine is = 1+2+4+8+16+32+64 = 127 Solution

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