
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 {a\_n} is an increasing arithmetic sequence, a\_2 and a\_4 are the roots of the equation x^2 - 6x + 8 = 0.
(1) Find the general term formula for {a\_n};
(2) Let b\_n = $\frac{1}{a\_n a\_{n+1}}$, find the sum of the first n terms T\_n of the sequence {b\_n}.

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