
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 sum of all numbers of the form $2k + 1$, where $k$ takes on integral values from $0$ to $n$ is:
A) $n^2$
B) $n(n+1)$
C) $(n+1)^2$
D) $(n+2)^2$

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