
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 sum of the first $n$ terms of an arithmetic sequence $\{a\_n\}$ is denoted as $S\_n$. Given that $a\_3 = 9$ and $S\_6 = 60$:
(I) Find the general term formula for the sequence $\{a\_n\}$;
(II) If sequence $\{b\_n\}$ satisfies $b_{n+1} - b_{n} = a_{n}$ for all positive integers $n$ and $b_{1} = 3$, find the sum of the first $n$ terms for the sequence $\{\frac{1}{b\_n}\}$, denoted as $T\_n$.

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