
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 a sequence ${a_n}$ that satisfies $a_{n+1}^2 = a_n a_{n+2}$, and $a_1 = \frac{1}{3}, a_4 = \frac{1}{81}$.
1. Find the general term formula of the sequence.
2. Let $f(x) = \log_3 x$, ${b_n} = f({a_1}) + f({a_2}) + ... + f({a_n})$, and ${T_n} = \frac{1}{{b_1}} + \frac{1}{{b_2}} + ... + \frac{1}{{b_n}}$. Find $T_{2017}$.

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