
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
Suppose $x=1$ is the extreme point of the function $$f(x)=a_{n+1}x^{3}-a_{n}x^{2}-a_{n+2}x+1(n∈N_{+})$$, where the sequence {$a_n$} satisfies $a_1=1$, $a_2=2$, $b_n=\log_2{a_{n+1}}$. Find the value of $$[ \frac {2018}{b_{1}b_{2}}+ \frac {2018}{b_{2}b_{3}}+…+ \frac {2018}{b_{2018}b_{2019}}]$$

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