
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 the sequence ${a_n}$ is $S_{n}=2^{n+1}+m$, and $a_1$, $a_4$, $a_5$-2 form an arithmetic sequence.

1. Find the general term formula for ${a_n}$.
2. If $b_{n}= \frac {a_{n}}{(a_{n}-1)(a_{n+1}-1)}$, find the sum of the first $n$ terms of the sequence ${b_n}$, denoted as $T_{n}$.

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