
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 that the graph of the function $f(x)=(x-1)^{α}$ passes through the point $(10,3)$, and the sequence ${a_n}$ is defined as $a_n=\frac{1}{f(n+1)+f(n)}$ for $n\in\mathbb{N}^*$. The sum of the first $n$ terms of the sequence is denoted as $S_n$. Find the value of $S_{2018}$.

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