
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
Let S<sub>n</sub> be the sum of the first n terms of the sequence {a<sub>n</sub>}. Given that $$a_{n} > 0, a_{n}^{2} + 2a_{n} = 4S_{n} + 3$$.
(I) Find the general term formula for {a<sub>n</sub>};
(II) Let $$b_{n} = \frac{1}{a_{n}^{2} - 1}$$, find the sum of the first n terms of the sequence {b<sub>n</sub>}, denoted as T<sub>n</sub>.

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