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.