Question

Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. –5, –10, –20, –40, . . .

Answer 1

It's -80 and -160 because it's multiple by 2

Answer 2

Next two number would be –5, –10, –20,–40, –80, –160.

Explanation:

Given : –5, –10, –20, –40, . . .

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

Solution : We have given that

–5, –10, –20, –40, . . .

We can see from given pattern

-5 * 2 = - 10.

- 10 * 2 = - 20 .

-20 * 2 = - 40

So, each number is multiplied by 2 to get next number.

-40 * 2 = - 80 .

- 80 * 2 = - 160 .

Therefore, Next two number would be –5, –10, –20,–40, –80, –160.