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 14th 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 14th square?      Log On


   

Question 876712: 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 14th square?
Found 2 solutions by richard1234, Alan3354:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
2^13 cents (note 1 = 2^0, so the nth square has 2^(n-1) cents)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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 14th square?
--------------
on the 14 squares, it's
1
2
4
8
16
...
--> 2^(n-1)
===
2^13 = 8192 cents on square 14
= $81.92 on sq 14
=======================
Sum = 2^14-1 = 16383 cents
= $163.83