
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
The product of the first $n$ terms of a geometric sequence $\{a_n\}$ is $T_n$. If the product $a_3 \cdot a_6 \cdot a_{12}$ is a constant, then among $T_{10}$, $T_{13}$, $T_{15}$, and $T_{17}$, which one is also a constant?

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