
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 sum of the first $n$ terms of a sequence of positive numbers $\{a\_n\}$ is $S\_n$, and it satisfies $S\_n= \frac {1}{4}(a\_n+1)^{2}$,
(1) Find the general term formula for the sequence $\{a\_n\}$;
(2) If $b\_n= \frac {1}{a\_n a_{n+1}}$, let $T\_n$ denote the sum of the first $n$ terms of the sequence $\{b\_n\}$, find $T\_n$.

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