
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 sequence ${\_{(a\_n)}_\}$ is $S\_n$, and $S\_n = 2n^2 + n$, $n ∈ ℕ^∗$, and the sequence ${\_{(b\_n)}_}$ satisfies $a\_n = 4log _{2} b\_n + 3$, $n ∈ ℕ^∗$.

(1) Find $a\_n$ and $b\_n$;
(2) Find the sum of the first $n$ terms of the sequence ${\_{(a\_n \cdot b\_n)}_}$, denoted as $T\_n$.

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