
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 $\{a_n\}$, its sum of the first n terms is $S_n$ and satisfies $S_{17} > 0$, $S_{18} < 0$. Determine the maximum term in the sequence $\{\frac{S_1}{a_1}, \frac{S_2}{a_2},…, \frac{S_{17}}{a_{17}}\}$.

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