1. You have the chess board, with squares numbered 1 through 64. You also have the huge change jar with the unlimited number of dimes. On first square you place one dime. On second square you stack 2 dimes. Then you continue, always doubling number from previous square. [UW]
a. Find number of dimes will you have stacked on 10th square?
b. Find number dimes will you have stacked on nth square?
c. Find number dimes will you have stacked on 64th square?
d. Suppose the dime is 1 mm thick, how high will this last pile be?
e. Distance from earth to sun is approximately 150 million km. Associate height of last pile of dimes to this distance.