Problem:
n a sequence of positive integers, each term after the second is the product of the previous two terms. The sixth term in the sequence is . What is the first term?
Answer Choices:
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B.
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E.
Solution:
Denote the first term of the sequence by and the second term by . Then the first six terms are
The sixth term is . It follows that and the first term of the sequence is . The first six terms of the sequence are and .
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions