
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 ${a_n}$, "${a_n} = \frac{1}{n+1} + \frac{2}{n+1} + ... + \frac{n}{n+1}$" ($n \in \mathbb{N}^*$), and ${b_n} = \frac{1}{a_n a_{n+1}}$, then the sum of the first $n$ terms of the sequence ${b_n}$, denoted as $S_n$, is $\_\_\_\_\_\_$.

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