
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 $\{a\_n\}$, $a\_2=3$, $a\_5=81$.
(I) Find $a\_n$ and the sum of its first $n$ terms $S\_n$;
(II) Let $b\_n=1+ \log \_{3}a\_n$, find the sum of the first 10 terms $T\_{10}$ of the sequence $\{ \frac {1}{b\_n \cdot b\_{n+1}}\}$.

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