
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
Calculate the sum of all numbers of the form $2k + 1$, where $k$ is an integer ranging from $0$ to $n-1$.
**A)** $n^2$  
**B)** $n(n+1)$  
**C)** $n(n-1)$  
**D)** $(n-1)^2$  
**E**) $(n+1)^2$

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