
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 that $S_n$ is the sum of the first $n$ terms of the sequence $\{a_n\}$, and $\frac{a_1}{2} + \frac{a_2}{3} + \frac{a_3}{4} + \ldots + \frac{a_{n-1}}{n} = a_n - 2$ ($n \geqslant 2$) and $a_1 = 2$. Find the general formula for $\{a_n\}$.

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