Question

How do you find the next three terms of the arithmetic sequence `3, 7, 11, 15,...`?

Answer 1

`19, 23, 27`

Explanation:

`3, 7, 11, 15...`

in an arithmetic/linear sequence, the difference between each number is constant.

`7-3=4`
`11-7=4`
etc.

constant difference = `4`
next three terms:
`15+4`
`(15+4)+4`
`(15+4)+4)+4`

`15+4=19`
`19+4=23`
`23+4=27`

`therefore` next three terms:
`19, 23, 27`