
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 5 terms of an arithmetic sequence $\{a\_n\}$ is 55, and $a\_6 + a\_7 = 36$.

1. Find the general term formula for the sequence $\{a\_n\}$.
2. Let $b\_n = \frac{1}{(a\_n - 6)(a\_n - 4)}$. Find the sum of the first $n$ terms of the sequence $\{b\_n\}$, denoted as $S\_n$.

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