
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 a geometric sequence $\{a_n\}$ with the first term $a_1$ and common ratio $q$, and it is known that $a_{3}= \frac {3}{2}$, $S_{3}= \frac {9}{2}$.  
(1) Find the general formula for the sequence $\{a_n\}$.  
(2) Let $b_{n}= \log_{2} \frac {6}{a_{2n+1}}$, and the sequence $\{b_n\}$ is increasing. If $c_{n}= \frac {1}{b_{n}b_{n+1}}$, find the sum of the first $n$ terms of the sequence $\{c_n\}$, denoted as $T_n$.

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