
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<sub>n</sub>} is an arithmetic sequence, with the first term a<sub>1</sub> = 1, and a<sub>3</sub> + 1 is the geometric mean of a<sub>2</sub> + 1 and a<sub>4</sub> + 2.
(1) Find the general term formula for the sequence {a<sub>n</sub>};
(2) Let b<sub>n</sub> = $$\frac {2}{a_{n}a_{n+1}}$$, find the sum of the first n terms, S<sub>n</sub>, of the sequence {b<sub>n</sub>}.

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