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LinearRecursion
AMC10/12
2006
Problem - 1728
Let $a_1 , a_2 , ...$ be a sequence for which$a_1=2$ , $a_2=3$, and $a_n=\frac{a_{n-1}}{a_{n-2}}$ for each positive integer $n \ge 3$. What is $a_{2006}$?
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