
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<sub>n</sub>} that satisfies a<sub>1</sub>\= $$\frac {1}{2}$$, and a<sub>n-1</sub>\-a<sub>n</sub>\= $$\frac {a_{n}a_{n-1}}{n(n-1)}$$, (n≥2), find the general term formula a<sub>n</sub>\=\_\_\_\_\_\_.

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