The given sequence is: $-54, -18, -24, -8, -12, -4, \ldots$

Let's analyze the pattern:

1. The sequence alternates between two different patterns:

   • The first, third, and fifth terms are: $-54, -24, -12$.
   • The second, fourth, and sixth terms are: $-18, -8, -4$.

2. First pattern ($-54, -24, -12$):

   • The difference between consecutive terms: $-24 - (-54) = 30, \quad -12 - (-24) = 12$ This isn't a consistent arithmetic or geometric progression.

3. Second pattern ($-18, -8, -4$):

   • The difference between consecutive terms: $-8 - (-18) = 10, \quad -4 - (-8) = 4$ Again, this isn't a consistent arithmetic or geometric progression.

At this point, it's unclear if the sequence follows a strict arithmetic, geometric, or some other systematic rule. If you have more terms or more context, that might help identify the sequence more clearly.

Would you like a detailed analysis of potential sequences?

Here are some questions to explore the pattern further:

1. Are there any additional terms available that could help?
2. Could the sequence involve alternating rules?
3. Is this sequence part of a larger context or problem?
4. Could this be modeled as a piecewise function or combination?
5. Does the pattern represent some application, like physics or finance?

Tip: When identifying sequences, check for alternating patterns, arithmetic and geometric progressions, or other relations like factorial or Fibonacci types.