<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Given a geometric sequence where the product of the first three terms is 2, the product of the last three terms is 4, and the product of all terms is 64, find the number of terms in this sequence. Express your answer as a whole number. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
12
Given a geometric sequence where the product of the first three terms is 2, the product of the last three terms is 4, and the product of all terms is 64, find the number of terms in this sequence. Express your answer as a whole number.
test