
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 sequences $\{a\_n\}$ and $\{b\_n\}$ that satisfy the following conditions: $a\_1=2p$, $a\_{n+1}= \frac {1}{2}(a\_n+ \frac {p^{2}}{a\_n})$, $b\_n= \frac {a\_n+p}{a\_n-p} (n∈N\_+, p > 0)$, find the general formula for $\{b\_n\}$.

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