Question
11.
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
1, 4, 7, 10, . . .
Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern.
1, 4, 7, 10, . . .
Answers
GPT-4o mini
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**.
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**.