
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 $\{a\_n\}$ that is an increasing sequence, with the first term $a\_1=3$, and $a\_1-1$, $a\_2-1$, $a\_3+1$ form a geometric sequence.

1. Find the general term formula for the sequence $\{a\_n\}$.
2. If the sequence $\{b\_n\}$ satisfies $b\_n= \frac {4}{a\_n^{2}-1}(n∈N\_+)$, and the sum of the first $n$ terms of the sequence $\{b\_n\}$ is represented by $T\_n$, find the value of $T\_1T\_2…T\_10$.

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