
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
A sequence $\{a\_n\}$ satisfies $a\_1=5$, and $\frac{1}{a\_1} + \frac{1}{a\_2} + \frac{1}{a\_3} + \dots + \frac{1}{a\_{n-1}} = \frac{2}{a\_n} (n \geq 2, n \in \mathbb{N}^*)$.
(1) Find $a\_2$, $a\_3$, $a\_4$;
(2) Find the general term formula for the sequence $\{a\_n\}$;
(3) Let $b\_n = \frac{a\_n}{11 - 2a\_n}$, find the maximum and minimum values of the sequence $\{b\_n\}$.

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