Question

What is the common difference d of the sequence? −15, −4, 7, 18, 29, ...

Answer 1

I think that it is 11...

Answer 2

The common difference is
`11`

Explanation:

we know that

In an Arithmetic Sequence the difference between consecutive terms is a constant called the common difference

so

In this problem we have

`-15,-4,7,18,29,...`

Let

`a1=-15\ a2=-4\ a3=7\ a4=18\ a5=29`

Find the difference between consecutive terms

`a5-a4=29-18=11`

`a4-a3=18-7=11`

`a3-a2=7-(-4)=11`

`a2-a1=-4-(-15)=11`

therefore

The sequence is an Arithmetic Sequence

The common difference is
`11`