
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
Let \( b_1, b_2, b_3, \dots \) be a sequence where \( b_1 = 3 \), \( b_2 = 4 \), and \( b_n = \frac{b_{n-1} + 1}{b_{n-2}} \) for each integer \( n \geq 3 \). What is \( b_{2023} \)?

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