
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 $\{a\_n\}$ be a geometric sequence with a positive common ratio, where $a\_1 = 2$ and $a\_3 = a\_2 + 4$.

1. Find the general term formula for $\{a\_n\}$.
2. Let $b\_n = (2n - 1)a\_n$; find the sum of the first $n$ terms, $S\_n$, of the sequence $\{b\_n\}$.

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