
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
Let the sequence \(\{b_n\}\) be defined by
\[ b_1 = 3 \]
\[ b_{n+1} = b_n + 3n \]
where \(n \geq 1\).
Find the value of \(b_{100}\).
A) 14850
B) 14851
C) 14852
D) 14853

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