
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
The sequence ${a_n}$ is an arithmetic sequence, and $S_n$ is the sum of the first $n$ terms, with $a_4=3$ and $S_5=25$.  
(1) Find the general formula for the term $a_n$.  
(2) Let $b_n = |a_n|$, calculate the sum $b_1 + b_2 + \ldots + b_n$.

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