
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 $\{a\_n\}$, where each term is positive, is denoted by $S\_n$. Given that $S\_6 = 30$ and $S\_9 = 70$, find $S\_3$.

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