
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 sequence $\{a\_n\}$ is a geometric sequence with common ratio $q > 0$, and $a\_2 = 1$, $a\_{n+2} + a\_{n+1} = 6a\_n$. Determine the sum of the first four terms, $S\_4$.

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