Question

(Easy) What is the next term in the sequence: 2, -2/3, 2/9, -2/27

Answer 1

`(2)/(81)`

Explanation:

There is a common ratio between consecutive terms in the sequence

r =
`(-(2)/(3) )/(2)` =
`((2)/(9) )/(-(2)/(3) )` =
`(-(2)/(27) )/((2)/(9) )` = -
`(1)/(3)`

To find a term in the sequence multiply the previous term by -
`(1)/(3)` , then

a₅ = -
`(1)/(3)` × a₄ = -
`(1)/(3)` × -
`(2)/(27)` =
`(2)/(81)`