
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 a sequence ${a_n}$ and the general term $a_n$ satisfy the relationship $S_n = \frac{1}{2} - \frac{1}{2}a_n$.
1. Find the general formula for the terms of the sequence ${a_n}$.
2. Let $f(x) = \log_3 x$, $b_n = f(a_1) + f(a_2) + \dots + f(a_n)$, and $T_n = \frac{1}{b_1} + \frac{1}{b_2} + \dots + \frac{1}{b_n}$. Find $T_{2012}$.

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