
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 $\{a\_n\}$, where $a\_1=a > 0$, $a\_{n+1}=f(a\_n)(n∈N^{})$ and $f(x)= \frac {2x}{x+1}$.
(1) Find $a\_2$, $a\_3$, $a\_4$;
(2) Conjecture a general formula for the sequence $\{a\_n\}$.

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