
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, the sum of its first $n$ terms is $S\_n$. $S\_2 = 3a\_2$. Find the value of $$\frac{a_{3}+a_{4}}{a_{1}+a_{2}}$$.

A) $$\frac{1}{4}$$
B) $$\frac{1}{2}$$
C) 2
D) 4

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