Geometric Series : Pennies and Checkerboard Problem
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A salesman challenged a stanger to a checker game. He told the stranger to put one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies." As he'd been saving pennies for over 25 years, the stranger did not consider this much of challenge, but soon realized he made a miscalculation on the amount of money involved.
a. How much money did the stranger put on the 32nd square?
b. How much would the stranger receive if the checkerboard only had 32 squares
c. Calculate the amount of money necessary to fill the whole checkerboard(64 squares) How much would the salesman need to give the stanger?
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A Geometric Series is used to solve the "Pennies and Checkerboard" Problem. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
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