
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 sequence $\{a\_n\}$, $a\_1=1$, $a\_{n+1}=(1+ \frac {1}{n})a\_n+ \frac {n+1}{2^{n}}$.
(1) Let $b\_n= \frac {a\_n}{n}$, find the general term formula for the sequence $\{b\_n\}$;
(2) Find the sum of the first $n$ terms of the sequence $\{a\_n\}$, denoted as $S\_n$.

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