
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
The sum of the first $n$ terms of a geometric sequence ${a_{n}}$ is $S_{n}$. The sequence $4a_{1}$, $2a_{2}$, $a_{3}$ forms an arithmetic sequence. If $a_{1}=1$, find the value of $S_{4}$ = $\_\_\_\_\_\_$.

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