
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Consider a geometric sequence {a_n} whose sum of the first n terms is S_n, and the common ratio is q. Given that a_n > 0, a_1 = 1, and S_3 = 7, find the value of q.

Present the answer in LaTex format: \boxed{Your answer}
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