
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]


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Given that S<sub>n</sub> is the sum of the first n terms of the sequence {a<sub>n</sub>}, and $$n+2， \sqrt {S_{n}}，(a_{1}-2)n$$ forms a geometric sequence.

1. Find the general term formula for the sequence {a<sub>n</sub>}.
2. Find the sum of the first n terms, T<sub>n</sub>, for the sequence $$\{ \frac {1}{a_{n}a_{n+1}}\}$$.

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