
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 that the sequence {a$_{n}$} is an increasing arithmetic sequence with a$_{2}$ = 3, and the sequence formed by a$_{1}$, a$_{3}$ - a$_{1}$, a$_{8}$ + a$_{1}$ is a geometric sequence.
(1) Find the general term formula for the sequence {a$_{n}$};
(2) If b$_{n}$ = $\frac{3}{a_{n}a_{n+1}}$, find the sum S$_{n}$ of the first n terms of the sequence {b$_{n}$}.

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