
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 $a_1=-1$ and $n(a_{n+1}-a_n)=2-a_{n+1}$ for $n \in \mathbb{N}^*$, find the general formula for $\{a_n\}$, which is $a_n=$ ______.

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