
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 an arithmetic sequence $\{a_n\}$ with a common ratio of $2$, let $S_n$ denote the sum of its first $n$ terms. Find the value of $\frac{S_3}{a_1+a_4}$, where $S_3$ is the sum of the first three terms and $a_1$ and $a_4$ are the first and fourth terms, respectively.

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