Question

What is the next term of the geometric sequence?
-1/7,4/7,-16/7

Answer 1

`(48)/(7)`

Explanation:

The common ratio r is

r =
`(a_(2) )/(a_(1) )` =
`((4)/(7) )/(-(1)/(7) )` = - 4

To obtain the next term multiply the previous term by - 4 , that is

next term = -
`(16)/(7)` × - 4 =
`(48)/(7)`