
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 the sum of the first $n$ terms of an arithmetic sequence $\{a\_n\}$ is $S\_n$, and $a\_2=2$, $S\_5=15$. The sum of the first $n$ terms of sequence $\{b\_n\}$, $T\_n$, satisfies $T\_n=(n+5)a\_n$.

(1) Find $a\_n$;
(2) Find the sum of the first $n$ terms of the sequence $\{\frac{1}{a\_nb\_n}\}$.

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