Question

Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. –9, –4, 1, 6, . . .

Answer 1

The pattern is +5 so the next two would be, 11,16

Answer 2

Answer with Step-by-step explanation:

We are given a pattern:

-9 , -4 , 1 , 6 , ...

We have to describe the pattern and find the next two terms

-9+5= -4

-4+5= 1

1+5= 6

Hence, the numbers are found by adding five to the previous term

The next two numbers are found as:

6+5 =11

11+5 = 16

Hence, next two numbers are:

11 and 16