
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 a geometric sequence {a$_{n}$} with positive terms, where a$_{3}$, a$_{5}$, and -a$_{4}$ form an arithmetic sequence, and S$_{n}$ is the sum of the first n terms of {a$_{n}$}. Determine the value of $\frac{S_{4}}{S_{2}}$.
A) 2
B) $\frac{7}{8}$
C) $\frac{9}{8}$
D) $\frac{5}{4}$

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