Question

Find the next three term of the sequence 1 3/4,2,2 1/4

Answer 1

2
`(1)/(2)` , 2
`(3)/(4)` , 3

Explanation:

there is a common difference between consecutive terms , that is

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

to find the next term in the sequence add
`(1)/(4)` to the previous term

a₄ = 2
`(1)/(4)` +
`(1)/(4)` = 2
`(1)/(2)`

a₅ = 2
`(1)/(2)` +
`(1)/(4)` = 2
`(3)/(4)`

a₆ = 2
`(3)/(4)` +
`(1)/(4)` = 3