<|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 the geometric sequence {a_n}, where a_1 + a_2 + a_3 = 40 and a_4 + a_5 + a_6 = 20, determine the value of S_9, the sum of the first 9 terms in the sequence. Express your answer as a single numerical value. 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
70
Given the geometric sequence {a_n}, where a_1 + a_2 + a_3 = 40 and a_4 + a_5 + a_6 = 20, determine the value of S_9, the sum of the first 9 terms in the sequence. Express your answer as a single numerical value.
test