
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
In a geometric sequence, the first term $a_{1} = \frac{1}{2}$, the common ratio $q = \frac{1}{2}$, and the $n$-th term $a_{n} = \frac{1}{32}$. Determine the value of $n$.

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