
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 $b_1 = 2$ and $b_{n + 1}^2 = 64b_n^2$ for all $n \geq 1$. Then $b_{50}$ equals?
A) $8^{48}$
B) $8^{49} \cdot 2$
C) $8^{49} \cdot 4$
D) $8^{50}$

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