
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 humanities sequence, let $S_n$ be the sum of the first $n$ terms of a sequence $\{a_n\}$. If the sequence $\{a_n\}$ satisfies $a_1=1$ and $S_{n+1} = \frac {(n+1)a_n}{n} + S_{n}$, then find the sum of the first $n$ terms of the sequence $\{a_n\}$, $S_n=$ ______.

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