
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
What real number is equal to the expression \(3 + \frac{3}{1 + \frac{5}{2 + \frac{3}{1 + \cdots}}}\), where the \(3\)s and \(5\)s alternate in the numerator and the \(1\)s and \(2\)s alternate in the denominator?

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