
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 a sequence of real numbers $b_1$, $b_2$, $b_3$, $\dots$ by $b_1 = 1$ and $b_{n + 1}^3 = 64b_n^3$ for all $n \geq 1$. Compute $b_{100}$.
A) $4^{33}$  
B) $4^{99}$  
C) $4^{100}$  
D) $64^{33}$  
E) None of these

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