Problem:
Jo and Blair take turns counting from to one more than the last number said by the other person. Jo starts by saying "", so Blair follows by saying "". Jo then says "", and so on. What is the number said?
Answer Choices:
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B.
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E.
Solution:
Note that Jo starts by saying number, and this is followed by Blair saying numbers, then Jo saying numbers, and so on. After someone completes her turn after saying the number , then numbers have been said. If then numbers have been said. Therefore there are more numbers that need to be said. The number said is .
The problems on this page are the property of the MAA's American Mathematics Competitions