SOLUTION: If I place 1 cent on the first square of a chess board, 2 cents on the second, and then double it on each square, how much money will be placed on the 16th square?

Algebra ->  Equations -> SOLUTION: If I place 1 cent on the first square of a chess board, 2 cents on the second, and then double it on each square, how much money will be placed on the 16th square?      Log On


   

Question 838232: If I place 1 cent on the first square of a chess board, 2 cents on the second, and then double it on each square, how much money will be placed on the 16th square?
Found 2 solutions by richwmiller, Fombitz:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
This was answered yesterday for the 14th square.
1,2,4,16
2^(n-1)
2^(16-1)
2^(15)=$327.68

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The amount of money goes up as powers of 2.
M=2%5E%28n-1%29
When n=16,
M=2%5E15=32768
You would need to place $327.68 on the 16th square