
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 $\{a\_n\}$ with the sum of its first $n$ terms denoted as $S\_n$. It is known that $a\_1=2$, $a_{n+1}=S\_n+2$, where $n∈N^{*}$.
(1) Find the general term formula for the sequence $\{a\_n\}$;
(2) If $a\_1$ and $a\_2$ are the second and fourth terms of an arithmetic sequence $\{b\_n\}$ with the sum of its first $n$ terms denoted as $T\_n$, find $\sum\_{i=1}^{n} \frac {1}{T\_i}$.

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