
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 a non-zero common difference 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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