
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 \( a_1, a_2, a_3, \dots \) by setting \( a_1 = 2 \) and \( a_{n+1}^4 = 66a_n^4 \) for all \( n \geq 1 \). Compute \( a_{50} \).
A) \( 66^{12} \)
B) \( 66^{49} \)
C) \( 66^{49/4} \cdot 2 \)
D) \( 66^{50} \)
E) \( 2^{50} \)

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