
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
Given that $\{a\_n\}$ is a positive arithmetic sequence, where the sum of the first $n$ terms is denoted as $S\_n$, $a\_1=3$, and $a\_2 \cdot a\_3 = S\_5$.

1. Find the general term formula for $\{a\_n\}$.
2. Let the general term of sequence $\{b\_n\}$ be $b\_n = \frac{1}{S\_n}$, find the sum of the first $n$ terms of $\{b\_n\}$, denoted as $T\_n$.

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