
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 $d > 0$, and it satisfies: $a\_3a\_6=55$, $a\_2+a\_7=16$. Sequence $\{b\_n\}$ satisfies: $b\_n= \frac {1}{a\_n a\_{n+1}}$. $T\_n$ represents the sum of the first $n$ terms of sequence $\{b\_n\}$.
(1) Find the general term formula for sequence $\{a\_n\}$.
(2) Find $T\_n$ and the range of $T\_n$.

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