
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 $a_n= \frac{1}{f(n+1)+f(n)}(n∈N)$, and denote the sum of the first $n$ terms of the sequence ${a_n}$ as $S_n$. Determine the value of $S_{2017}$.

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