
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 the sequence ${a_n}$ where $a_n = -4n + 5$, and the geometric sequence ${b_n}$ with common ratio $q$ that satisfies $q = a_n - a_{n-1}$ for $n \geq 2$, and $b_1 = a_2$, find the sum $|b_1| + |b_2| + ... + |b_n|$.

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