
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 a non-zero common difference arithmetic sequence $\{a_n\}$ with the sum of the first $n$ terms denoted as $S_n$, if $S_{10}=110$, and $a_1$, $a_2$, $a_4$ form a geometric sequence,

(Ⅰ) Find the general term formula of the sequence $\{a_n\}$;

(Ⅱ) Let sequence $\{b_n\}$ satisfy $b_n=\frac{1}{(a_n-1)(a_n+1)}$, and let the sum of the first $n$ terms of $\{b_n\}$ be $T_n$.

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