
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
The sequence \( x_{0}, x_{1}, x_{2}, \ldots \) has its first two terms positive, and it holds that \( x_{n+2} = \frac{x_{n+1} + 1}{x_{n}} \). Express the 2003rd term of the sequence in terms of \( x_{0} \) and \( x_{1} \).

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