Problem:
The first three terms of an arithmetic sequence are , and respectively. The th term of the sequence is 2009. What is
Answer Choices:
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E.
Solution:
Because the difference between consecutive terms is constant,
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Therefore , and the first three terms are 5,9 , and 13 . Thus the difference between consecutive terms is 4 . The th term is , and it follows that .
The problems on this page are the property of the MAA's American Mathematics Competitions