The common ratio between each term is -4. We can tell this is the case by setting 96/-24 and -24/6 which both give us -4.
Next detail about the sequence is that this is a geometric sequence due to a common ratio being present.
The formula for a geometric sequence is t_n = (t_1)*r^(n-1)
Plugging in for r, our common ratio, gives us the following recursive formula:
t_n = (t_1)*(-4)^(n-1)