Question

What is the fifth term of the sequence 4/3, 8/3, 4, 16/3 ?

Answer 1

`(20)/(3)`

Explanation:

Note the consecutive terms in the sequence have a common difference, that is

`(8)/(3)` -
`(4)/(3)` = 4 -
`(4)/(3)` =
`(16)/(3)` - 4 =
`(4)/(3)`

This indicates the sequence is arithmetic with d =
`(4)/(3)`

To find the next term in the sequence add d to the previous term, thus

`a_(5)` =
`(16)/(3)` +
`(4)/(3)` =
`(20)/(3)`

Answer 2

20/3

Explanation:

add four t ok top one and keep the 3 down