Answer: The next two numbers are -6 and 3
Step-by-step explanation:
The numbers we have are the following:

We can see that the numbers are decreasing because 48 is smaller than 96, 24 is smaller than 48, and so on.
We can also see that one number has a negative sign and the next does not.
The patter here is that to find the next number we are diving by -2. Because 48 is -96/(-2). And -24 is the result of 48/(-2).
We can see this in the following diagram:
to find the next number, we divide the previous one by -2.
So, to find the next two numbers, first we divide 12 by -2:

The next number is -6.
To find the second next number, we divide -6 by -2:

Answer: The next two numbers are -6 and 3