
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
In the arithmetic sequence $\{{a_n}\}$, ${a_2 = 3}$, and ${a_3 + a_6 = 11}$.
(I) Find the general term formula for the sequence $\{{a_n}\}$;
(II) Let ${b_n = a_n + \frac{1}{2^{a_n}}}$, where $n \in \mathbb{N}^*$, find the sum of the first $n$ terms of the sequence $\{{b_n}\}$, denoted as ${S_n}$.

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