
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
Define the sequence \(\{b_n\}\) by
\( b_1 = 3 \)
\( b_{n+1} = b_n + 3n \)
where \( n \geq 1 \).
Determine \( b_{50} \).
A) 3578
B) 3678
C) 3778
D) 3878

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