
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 the geometric sequence $\{ a_{n} \}$, $a_{2}=3$, $a_{5}=81$.
1. Find $a_{n}$.
2. Let $b_{n}=\log_{3}{a_{n+1}}$, find the sum of the first $n$ terms, $S_{n}$, of the sequence $\{ \frac{1}{{b_{n}}{b_{n+1}}} \}$.

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