
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 $\{a\_n\}$, the common ratio $q > 1$, $a\_2=2$, and the sum of the first three terms $S\_3=7$.
(I) Find the general term formula of the sequence $\{a\_n\}$;
(II) Let $b\_n=\log \_2 a\_n$, $c\_n= \frac {1}{b\_{n+1} \cdot b\_{n+2}}$, find the sum of the first $n$ terms $T\_n$ of the sequence $\{c\_n\}$.

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