
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 \( x_0, x_1, x_2, \ldots \) is defined by \( x_0 = a \), \( x_1 = b \), and \( x_{n+2} = \frac{1 + x_{n+1}}{x_n} \). Find \( x_{1998} \).

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