Question

How do I find the next four of the sequence?

Answer 1

Explanation:

`a_(1)` =
`(3)/(4)`

d = -
`(1)/(4)`

`a_(2)` =
`(3)/(4)` + ( -
`(1)/(4)` ) =
`(1)/(2)`

`a_(3)` =
`(1)/(2)` -
`(1)/(4)` = -
`(1)/(2)`

`a_(4)` = -
`(1)/(2)` -
`(1)/(4)` = -
`(3)/(4)`

`a_(5)` = -
`(3)/(4)` -
`(1)/(4)` = - 1

Answer 2

Explanation:

In this arithmetic sequence, the common difference d is 7. You can find this by subtracting a term from the consecutive term: 16 - 9 = 7, 23 - 16 = 7. In order to find the next four terms, keep adding 7 to the previous term. The next four terms are 30, 37, 44, and 51.