Question

What is the next term of the geometric sequence?
4/9,-4/3,4

Answer 1

- 12

Explanation:

the common ratio r of a geometric sequence is

r =
`(a_(2) )/(a_(1) )` =
`(-(4)/(3) )/((4)/(9) )` = -
`(4)/(3)` ×
`(9)/(4)` = - 3

to find the next term , multiply the previous term by r = - 3 , then

a₄ = 4 × - 3 = - 12