
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 $a\_2=2$, $a\_6+a\_8=14$
(1) Find the general term formula of the sequence $\{a\_n\}$
(2) Find the sum of the first $n$ terms, $S\_n$, of the sequence $\{ \frac{a\_n}{2^n} \}$.

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