
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
(The full score of this question is 12 points)  
It is known that the sum of the first $n$ terms of sequence $\{a_n\}$ is $S_n = 2n^2 - 2n$, and the sum of the first $n$ terms of sequence $\{b_n\}$ is $T_n = 3 - b_n$.  
① Find the general formula for sequences $\{a_n\}$ and $\{b_n\}$.  
② Let $c_n = a_n \cdot b_n$, find the expression for the sum of the first $n$ terms of sequence $\{c_n\}$, denoted as $R_n$.

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