
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 $a_{2}=6$, $S_{5}=45$; the sum of the first $n$ terms of the sequence ${b_{n}}$ is $T_{n}$, and $T_{n}-2b_{n}+3=0$.
(1) Find the general terms of the sequences ${a_{n}}$ and ${b_{n}}$;
(2) Let $c_{n} = \begin{cases} b_{n},n\text{ is odd} \\ a_{n},n\text{ is even}\\ \end{cases}$, find the sum of the first $n$ terms of the sequence ${c_{n}}$, denoted as $Q_{n}$.

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