
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 $\{a_n\}$ whose sum of the first $n$ terms is $S_n$, and a geometric sequence $\{b_n\}$ with all positive terms and a common ratio $q$. It is known that: $a_1 = 2$, $b_1 = 1$, $b_2 + S_2 = 8$, and $S_2 = (b_2 + 1)q$,
(1) Find the general term formulas for sequences $\{a_n\}$ and $\{b_n\}$;
(2) Let $c_n = \frac {a_{n}}{b_{n}}$, find the sum of the first $n$ terms of sequence $\{c_n\}$, denoted by $T_n$.

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