Will give brainliest and five stars to correct answer

Second option is the correct one.
-24, -96, -384, -1536, -6144, -24576

A1=-6
So, your first term will start with -6. That automatically gets rid of answers
#1 and #2.

an = 4 × an-1
This means that each subsequent term will be the previous number multiplied by 4.

-6 x 4 =
-24 ×4 =
-96 x 4 =
-384 × 4 =
-1536 x 4 =
-6144

The answer would be #4. BUT:

Here's the weird thing: this is only right if it's literally telling us that the first term, "a1", has a value of -6. The term is fixed looking at it this way, which is what I based my answer #4 on. IMO, it seems like it's assigning a fixed value.

However, the other way to look at it is "a1" defined as a variable.
If a1 is a variable, rather than being defined as the actual first term, then logically, the same math can be applied to answer #2, just starting with -24. This means the answer would then be #2.

So, its either #2 or #4 depending on whether "a1" is defined as a variable or if it's fixed as the actual value for the first term, respectively.

Kind of a poorly written question...unless there's some info missing that may help to steer us in the right direction.

Hope this helps!