
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
Consider the sequence $\{b_n\}$ defined by:
$b_1 = 3$,
$b_{n+1} = b_n + 3n$
where $n \geq 1$. Compute $b_{100}$.
A) 15000
B) 15001.5
C) 14001.5
D) 16001.5

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