
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 a sequence $ \\{a_n\\} $ that satisfies $ a_1=2 $, and $ a_n= \frac {2na_{n-1}}{a_{n-1}+n-1} $ for $ n\geqslant 2, n\in\mathbb{N}^* $, find the expression for $ a_n $.

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