
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 sequence $\{a_n\}$, $a_{n+1} = a_n + 2$ ($n \in \mathbb{N}^*$), determine the shape of the curve formed by the points $A_1(1, a_1)$, $A_2(2, a_2)$, ..., $A_n(n, a_n)$.

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