
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 $f(x)$ defined on $\mathbb{R}$ with its graph symmetrical about the point $\left(-\frac{3}{4}, 0\right)$, satisfying $f(x) = -f\left(x + \frac{3}{2}\right)$ for any real number $x$, and given that $f(-1) = 1$ and $f(0) = -2$, calculate the value of $f(1) + f(2) + \dots + f(2017)$.

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