
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
Given that the sequence $\{a_n\}$ is a geometric sequence, with $a_1=2$, common ratio $q>0$, and $a_2$, $6$, $a_3$ forming an arithmetic sequence.
(I) Find the general term formula for the sequence $\{a_n\}$;
(II) Let $b_n=\log_2{a_n}$, and $$T_{n}= \frac {1}{b_{1}b_{2}}+ \frac {1}{b_{2}b_{3}}+ \frac {1}{b_{3}b_{4}}+…+ \frac {1}{b_{n}b_{n+1}}$$, find the maximum value of $n$ such that $$T_{n}< \frac {99}{100}$$.

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