
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 $\{a\_n\}$, it is known that $a\_3=7$ and $a\_5+a\_7=26$.

(I) Find the general term $a\_n$ of the sequence;

(II) Let $b\_n=\frac{1}{a\_n^2-1}(n∈\mathbb{N}^*)$, find the sum of the first $n$ terms, denoted as $S\_n$, of the sequence $\{b\_n\}$.

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