
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 an arithmetic sequence $\{a\_n\}$, its sum of the first $n$ terms is $S\_n$. Also, $S\_4=16$ and $S\_6=36$.

1. Find $a\_n$;
2. Suppose there is another sequence $\{b\_n\}$ that satisfies $b\_n=q^{a\_n} (q \in \mathbb{R}, q > 0)$, and $T\_n = \frac{1}{b\_1b\_2} + \frac{1}{b\_2b\_3} + \dots + \frac{1}{b\_n b\_{n+1}}$, find $T\_n$.

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