
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>} with the first term a<sub>1</sub> = 1, and a<sub>n+1</sub> = $$\frac{a_n}{1 + a_n}$$ (n = 1, 2, 3, ...), find a<sub>4</sub> and conjecture its general formula a<sub>n</sub>.

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