
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 $r(\theta) = \frac{1}{1+\theta}$ and $s(\theta) = \theta + 1$. What is the value of the expression $s(r(s(r(s(r(2))))))$ (where functions $r$ and $s$ are applied alternately starting with $r$, a total of 6 times)?

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