
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
Arrange all the zeros of the function $f(x)=\sin x$ ($x > 0$) in ascending order to form the sequence $\{a_n\}$. The sequence $\{b_n\}$ satisfies $b_n=3^n \cdot a_n$. Then, the sum of the first $n$ terms of the sequence $\{b_n\}$, denoted as $T_n=$ ______.

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