
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
Let $\{a\_n\}$ be an arithmetic sequence, and $b\_n = (\frac{1}{2})^{a\_n}$. Given that $b\_1 + b\_2 + b\_3 = \frac{21}{8}$ and $b\_1 b\_2 b\_3 = \frac{1}{8}$, find the general term $a\_n$ of the arithmetic sequence.

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