Question

Please help me out please

Answer 1

`(8)/(81)`

Explanation:

Since the sequence is geometric there is a common ratio r between consecutive terms.

r =
`(1)/(3)` ÷
`(1)/(2)`

=
`(1)/(3)` ×
`(2)/(1)` =
`(2)/(3)`

Multiplying
`(4)/(27)` by r gives the next term in the sequence

`(4)/(27)` ×
`(2)/(3)` =
`(8)/(81)`