
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
In the arithmetic sequence ${a_n}$, $a_3=3$, and $a_1+a_7=8$. What is the sum of the first 2018 terms of the sequence $\{ \frac {1}{a_{n+1}\cdot a_{n}}\}$?

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