
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 the sequence ${a_n}$ with its first $n$ terms sum $S_n$ and $S_{n}=2a_{n}-2 (n\in\mathbb{N}^{*})$.

1. Find the general formula for the sequence ${a_n}$.
2. Let $b_{n}= \frac {1}{\log_{2}a_{n}\cdot \log_{2}a_{n+1}}$, find the first $n$ terms sum $T_n$ for the sequence ${b_n}$.

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