
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
The sequence $\{a_n\}$ is a geometric sequence with the first term $a_1=4$, and $S_3$, $S_2$, $S_4$ form an arithmetic sequence.  
(I) Find the general formula for the sequence $\{a_n\}$.  
(II) Let $b_n=\log_2 |a_n|$, and $T_n$ be the sum of the first $n$ terms of the sequence $\left\{ \frac {1}{b_{n}\cdot b_{n+1}}\right\}$. Find $T_n$.

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