
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 $\{a\_n\}$ that satisfies $a\_1=3,a\_n= \frac {n}{n-1}a_{n-1}(n\geqslant 2)$.
(1) Write out the first three terms of the sequence $\{a\_n\}$;
(2) Find the general term formula for the sequence $\{a\_n\}$.

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