Final answer:
The 4th term in the sequence is -128.
Step-by-step explanation:
The sequence is defined recursively as follows:
b(1) = -54
b(n) = b(n-1) × 4/3
To find the 4th term in the sequence, we can start with the first term and apply the recursive formula:
b(2) = (-54) × 4/3 = -72
b(3) = (-72) × 4/3 = -96
b(4) = (-96) × 4/3 = -128
Therefore, the 4th term in the sequence is -128. So, the correct answer is C. -128.