
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 $\{a_n\}$ where the sum of the first n terms is $s_n = pn^2 - 2n + q$ ($p, q \in \mathbb{R}$) and $n \in \mathbb{N}^*$:
(I) Find the value of $q$;
(II) If $a_3 = 8$, and sequence $\{b_n\}$ satisfies $a_n = 4\log_2 b_n$, find the sum of the first n terms of the sequence $\{b_n\}$.

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