
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 the sequence $\{a\_n\}$, where $a\_n > 0$, $a\_1=1$, $a\_{n+2}= \frac {1}{a\_n+1}$, and $a\_6=a\_2$, find the value of $a\_{2016}+a\_3$.

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