
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 a sequence {a<sub>n</sub>} with the sum of the first n terms denoted as S<sub>n</sub>, if $$a_{n+1}=a_{n}+1  (n∈N^{*})$$ and S<sub>3</sub>\=12:

(Ⅰ) Find the general term formula for the sequence {a<sub>n</sub>};

(Ⅱ) Let $$b_{n}= \frac {1}{a_{n}a_{n+1}}$$, find the sum of the first n terms, T<sub>n</sub>, for the sequence {b<sub>n</sub>}.

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