
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 an arithmetic sequence $\{a_n\}$ that satisfies $a_1 + a_2 + a_3 = 9$ and $a_2 + a_8 = 18$; and a sequence $\{b_n\}$ whose sum of the first $n$ terms is $S_n$, satisfying $S_n = 2b_n - 2$.
(1) Find the general formula for the sequences $\{a_n\}$ and $\{b_n\}$;
(2) If the sequence $\{c_n\}$ satisfies $c_n = \frac {a_n}{b_n}$, find the sum of the first $n$ terms, $T_n$, of the sequence $\{c_n\}$.

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