
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 $f(x) = x^2 + bx$, its graph has a tangent line $(l)$ at point $A(1, f(1))$ that is parallel to the line $3x - y + 2 = 0$. Find the value of $S_{2017}$ for the sequence ${\frac{1}{f(n)}}$.

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