
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 $\{a\_n\}$ where the sum of the first $n$ terms is $S\_n$, $a\_1=2$, and it satisfies $S\_n= \frac {1}{2}a_{n+1}+n$, ($n∈N^*$)．
(Ⅰ) Find the general term formula of the sequence $\{a\_n\}$;
(Ⅱ) If $b\_n=(4n-2)a_{n+1}$, 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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