
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 $S_n$, and $3S_n + a_n = 3$ ($n \in \mathbb{N}^*$),
(I) Find the general term formula for the sequence ${a_n}$;
(II) Let $b_n = \log_4(1 - S_{n+1})$, and $T_n = \frac{1}{b_1b_2} + \frac{1}{b_2b_3} + \ldots + \frac{1}{b_n b_{n+1}}$, find $T_n$.

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