What is the recursive formula for this geometric sequence?
-2, -16, -128, -1024,

The first line shown in choice A is [tex]a_1 = -2[/tex] which means "the first term is -2"
The next line in choice A means "the nth term ([tex]a_n[/tex]) is found by multiplying the prior term ([tex]a_{n-1}[/tex]) by 8". Put another way: multiply each term by 8 to get the next term.
first term = -2
second term = 8*(first term) = 8*(-2) = -16
third term = 8*(second term) = 8*(-16) = -128
fourth term = 8*(third term) = 8*(-128) = -1024
and so on.