
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 that $f(x) + f(1 - x) = 2$, and $a\_n = f(0) + f(\frac{1}{n}) + ... + f(\frac{n - 1}{n}) + f(1)$ ($n \in \mathbb{N}^*$), determine the general formula for the sequence $\{a\_n\}$.

A) $a\_n = n - 1$
B) $a\_n = n$
C) $a\_n = n + 1$
D) $a\_n = n^2$

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