31.6k views
1 vote
What is the recursive formula for this geometric sequence?
-2, -16, -128, -1024,

What is the recursive formula for this geometric sequence? -2, -16, -128, -1024,-example-1

2 Answers

2 votes

Answer: the answer is A

User Yoon
by
4.4k points
6 votes

Answer: Choice A

The first line shown in choice A is
a_1 = -2 which means "the first term is -2"

The next line in choice A means "the nth term (
a_n) is found by multiplying the prior term (
a_(n-1)) 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.

User Ajeet Ganga
by
4.0k points