
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 the rules:
- $b_1 = 3$
- $b_{n+1} = b_n + 2n + n^2$
for $n \geq 1$. Determine the value of $b_{10}$.
A) 350
B) 369 
C) 378 
D) 387

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