
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 sequence \(a_{n}\) (where \(n\) is a natural number) defined as follows:

\[ 
a_{0} = 2 \quad \text{and} \quad a_{n} = a_{n-1} - \frac{n}{(n+1)!}, \quad \text{if} \quad n > 0 
\]

Express \(a_{n}\) as a function of \(n\).

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