Answer:
A
Explanation:
every term of the sequence is created by multiplying the previous term by -2.4
to get the ratio (or multiplication factor) of the sequence :
4 × r = -9.6
r = -9.6/4 = -2.4
and as you can easily check, the following y values use the same factor.
so, as multiplication is used, it is a geometric sequence.
if addition were used, it would be an arithmetic sequence.
but the differences between the y values are clearly not constant (as it would be, if we added a fixed constant to every term to create the next).
so, B and D are automatically wrong.
and C is wrong, because the given ratio or multiplication factor cannot be right :
4 × 0.4 = 1.6 and never -9.6