Question

Use inductive reasoning to describe the pattern. then find the next two numbers in the pattern. –3, 9, –27, 81, . . .

Answer 1

tmes -3 each times so next 2 numbers are -243 then 729

Answer 2

`-243` and 729.

Explanation:

We have been given a pattern –3, 9, –27, 81, . . . We are asked to find the next two numbers of our given pattern.

We can see that our given pattern is in form of geometric sequence. We need to find the common ratio of our given sequence by dividing any term of sequence by its previous term.

`r=(9)/(-3)=-(9)/(3)=-3`.

So the next number of our given term would be
`81* -3=-243`.

The next number would be
`-243* -3=729`.

Therefore, the next two numbers of our given sequence are
`-243` and 729.