
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
In the arithmetic sequence $\{a\_n\}$, $S\_n$ denotes the sum of the first $n$ terms of the sequence $\{a\_n\}$, and it is given that $S\_9 = -9$, $S\_{10} = -5$.

(1) Find the general term formula for the sequence $\{a\_n\}$;

(2) Find $S\_n$ and determine the value of $n$ for which $S\_n$ is minimum.

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