Final answer:
The sequence follows a pattern of multiplying by -3 to obtain the next term, giving rise to the terms 4, -12, 36, and -108.
Step-by-step explanation:
The sequence (4, -12, 36, -108) follows a pattern where each term is multiplied by -3 to get the next term. Starting with the first term 4, if you multiply by -3, you get -12. Continuing this pattern, multiplying -12 by -3 you get 36, and then multiplying 36 by -3 yields -108. Therefore, the rule that represents the pattern in the sequence is "Multiply by -3".