
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 sum of the first $n$ terms ($S_n$) of an arithmetic sequence $\{a_n\}$ satisfies $S_3 = 0$ and $S_5 = -5$.

(I) Find the general term formula for $\{a_n\}$;
(II) Find the sum of the first $n$ terms of the sequence $\{\frac{1}{a_{2n-1}a_{2n+1}}\}$.

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