
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 function $f(x)=x^{a}$ whose graph passes through the point $(4,2)$, let $a_{n}= \frac{1}{f(n+1)+f(n)}$, where $n\in\mathbb{N}^{*}$. Denote the sum of the first $n$ terms of the sequence $\{a_{n}\}$ as $S_{n}$. Then, $S_{2018}=$\_\_\_\_\_\_\_.

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