
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 of the arithmetic sequence ${a_n}$ is $S_n$, and the sum of the first $n$ terms of the geometric sequence ${b_n}$ is $T_n$, satisfying $a_1=b_1$, $2a_2=b_2$, $S_2+T_2=13$, $2S_3=b_3$.
(I) Find the general term formula for the sequences ${a_n}$ and ${b_n}$;
(II) Let $c_n=\frac{2a_n}{b_n}$, find the sum of the first $n$ terms of the sequence ${c_n}$, denoted as $C_n$.

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