
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 $\{a\_n\}$ with a non-zero common difference, let $S_n$ denote the sum of its first $n$ terms. If $S_{10} = 110$, and $a_1$, $a_2$, $a_4$ form a geometric sequence:
(I) Find the general term formula for the sequence $\{a_n\}$;
(II) Define a new sequence $\{b_n\}$ such that $b_n = \frac{1}{(a_n - 1)(a_n + 1)}$. Let $T_n$ denote the sum of the first $n$ terms of $\{b_n\}$.

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