
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 that the first term of a geometric sequence $\\{a\_n\\}$ is $\\frac{3}{2}$, and the sequence is not a decreasing sequence. The sum of the first $n$ terms is represented by $S\_n$ ($n∈N^{*}$), and $S\_3+a\_3$, $S\_5+a\_5$, $S\_4+a\_4$ form an arithmetic sequence.

(1) Find the general term formula of the sequence;
(2) Let $T\_n=S\_n-\\frac{1}{S\_n}$ ($n∈N^{*}$), find the maximum value and the minimum value of the sequence $\\{T\_n\\}$.

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