
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 $\{a\_n\}$ is an arithmetic sequence with a common difference $d < 0$, let $S\_n$ denote the sum of its first $n$ terms. It is known that $S_{16} > 0$ and $S_{17} < 0$. Determine the value of $n$ when $S\_n$ reaches its maximum value.

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