
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 \(\{b_n\}\) where \(b_1 = 3\) and subsequent terms are given by \(b_{n+1} = b_n + 2n + 1\). Find \(b_{100}\).
A) 9998
B) 10000
C) 10002
D) 10004
E) 10100

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