
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
Let $S_n$ be the sum of the first $n$ terms of an arithmetic sequence $\{a_n\}$. Given that $S_{25} > 0$ and $S_{26} < 0$, find which term is the largest in the sequence $\left\{ \frac{S_1}{a_1}, \frac{S_2}{a_2}, \ldots, \frac{S_{25}}{a_{25}} \right\}$.

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