
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 sequence {a<sub>n</sub>} with the sum of its first n terms denoted as S<sub>n</sub>, it is known that a<sub>1</sub> = 3 and S<sub>n+1</sub> = 3S<sub>n</sub> + 3 (n ∈ ℕ*),

1. Find the general term formula for the sequence {a<sub>n</sub>}.
2. If b<sub>n</sub> = $$\frac {4n}{a_{n+1}-a_{n}}$$, find the sum of the first n terms for 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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