
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 the arithmetic sequence $\{a\_n\}$, it is known that $a\_2=3$, and $a\_1$, $a\_3$, $a\_7$ form a geometric sequence.
(1) Find the general term formula of the sequence $\{a\_n\}$;
(2) Let the sum of the first $n$ terms of the sequence $\{a\_n\}$ be $S\_n$, and let $b\_n=\frac{9}{2S\_{3n}}$, find 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}
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