Answer: The next two numbers are -6 and 3
Explanation:
The numbers we have are the following:
[tex]-96,48,-24,12,\ldots[/tex]
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:
[tex]\frac{12}{-2}=-6[/tex]
The next number is -6.
To find the second next number, we divide -6 by -2:
[tex]\frac{-6}{-2}=3[/tex]
Answer: The next two numbers are -6 and 3
