Question

Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.

–5, –10, –20, –40, . . .

Answer 1

Next two numbers -80, -160
In this geometric sequence r=2

Answer 2

`-80` and
`-160`.

Explanation:

We have been given a sequence
`-5,-10,-20,-40,...`. We are asked to find next two terms of our given sequence.

We can see that each next term of the sequence is two times the previous term of he sequence.

`-5* 2=-10`

`-10* 2=-20`

`-20* 2=-40`

To find the next term of our given sequence, we will multiply
`-40` by 2 as:

`-40* 2=-80`

To find the next term of our given sequence, we will multiply
`-80` by 2 as:

`-80* 2=-160`

Therefore, the next two terms of our given sequence are
`-80` and
`-160`.