
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 an arithmetic sequence $\\{a\_n\\}$, with a common difference $d > 0$, the sum of the first $n$ terms is $S\_n$. It is known that $S\_3=6$ and $a\_3-a\_1$, $2a\_2$, $a\_8$ form a geometric sequence.

(I) Find the general term formula for $\\{a\_n\\}$;
(II) Let $b\_n= \dfrac {1}{a\_n \cdot a\_{n+2}}$, find the value of the sum of the first $n$ terms, $T\_n$, for the sequence $\\{b\_n\\}$.

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