Problem:
Jo and Blair take turns counting from 1 to one more than the last number said by the other person. Jo starts by saying " 1 ", so Blair follows by saying "1, 2 ". 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 1 number, and this is followed by Blair saying 2 numbers, then Jo saying 3 numbers, and so on. After someone completes her turn after saying the number , then
numbers have been said. If then 45 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