
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 \(\left\{a_{n}\right\}\) where \(a_{n+1}=\frac{2005 a_{n}}{2003 a_{n}+2005}\) and \(a_{1}=1\), find the value of \(a_{2006}\).

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