
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
Given $f(x)= \frac{1-x}{1+x}$, the sequence $\{a_{n}\}$ satisfies $a_{1}= \frac{1}{2}$, and for any $n∈N^{*}$, it satisfies $a_{n+2}=f(a_{n})$, and $a_{n} > 0$. If $a_{20}=a_{18}$, then the value of $a_{2016}+a_{2017}$ is _____ .

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