3
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $a_1 , a_2 , \dots$ 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 $a_{2006}$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
Let $a_1 , a_2 , \dots$ 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 $a_{2006}$?
train