
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 the arithmetic sequence $\{a\_n\}$ satisfies $a\_2=2$, and the point $(a\_4,a\_6)$ is on the line $x+2y-16=0$.
(I) Find the general term of the sequence $\{a\_n\}$;
(II) Let $b\_n=a\_n+2^{a\_n}$, 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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