Question

11.
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.

1, 4, 7, 10, . . .

Answer 1

The given sequence is: 1, 4, 7, 10, ...

To identify the pattern, let's look at the differences between the successive terms:

- 4 - 1 = 3
- 7 - 4 = 3
- 10 - 7 = 3

We can see that each number in the sequence increases by 3.

Using inductive reasoning, we can conclude that the pattern involves adding 3 to the previous term to obtain the next term.

Following this pattern:

- The next number after 10 is: 10 + 3 = 13
- The number after 13 is: 13 + 3 = 16

Therefore, the next two numbers in the pattern are **13** and **16**.