
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, $S_n$, of the sequence ${a_n}$ satisfies $S_n = 2a_n - a_1$, and $a_1$, $a_2 + 1$, $a_3$ form an arithmetic sequence.
1. Find the general term formula for the sequence ${a_n}$.
2. Let $b_n = 2\log_2 a_n - 1$. Find the sum of the first $n$ terms, $T_n$, for the sequence ${1 \over b_n b_{n+1}}$.

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