
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 the sequence $\{a\_n\}$ that satisfies $a_{n+1} = 2a_n$ for all $n \in \mathbb{N}^*$, let $S_n$ denote the sum of the first $n$ terms. Find the value of $\frac{S_5}{a_5}$.

A) $\frac{15}{16}$
B) $\frac{31}{16}$
C) $\frac{15}{32}$
D) $\frac{31}{32}$

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