
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
In an arithmetic sequence $\{a_n\}$, with common difference $d$, and $S_n$ being the sum of the first $n$ terms, the equation $S_n = na_1 + \frac{n(n-1)d}{2}$ holds. By analogy, for a geometric sequence $\{b_n\}$, with common ratio $q$, and $T_n$ being the product of the first $n$ terms, the corresponding equation $T_n = \_\_\_\_\_\_$ holds.

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