
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 a sequence of positive numbers \(\left\{a_{n}\right\}(n \geqslant 0)\) that satisfies \(a_{n}=\frac{a_{n-1}}{m a_{n-2}}\) for \(n = 2, 3, \dots\), where \(m\) is a real parameter. If \(a_{2009}=\frac{a_{0}}{a_{1}}\), find the value of \(m\).

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