
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
The graph of the function $f(x)$ defined on $\mathbb{R}$ is centrally symmetric about the point $\left(-\frac{3}{4}, 0\right)$, and it satisfies $f(x) = -f\left(x + \frac{3}{2}\right)$, $f(-1) = 1$, and $f(0) = -2$. Find the value of the sum $f(1) + f(2) + \ldots + f(2016)$.

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