
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 $\{a_n\}$ with the sum of its first $n$ terms denoted as $S_n$, and $a_3 = -5$, $S_4 = -24$.

(I) Find the general term formula for the sequence $\{a_n\}$.
(II) Calculate the sum of the first 20 terms, $T_{20}$, for the sequence $\{|a_n|\}$.

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