To find the next three numbers in the sequence 13, 21, 29, 37, we first determine the pattern. The difference between each consecutive pair of numbers is 8:

• $21 - 13 = 8$
• $29 - 21 = 8$
• $37 - 29 = 8$

This indicates that the sequence increases by 8 each time. Therefore, the next three numbers are:

• $37 + 8 = 45$
• $45 + 8 = 53$
• $53 + 8 = 61$

So, the next three numbers in the sequence are 45, 53, and 61.

Would you like further details or have any questions?

Here are 5 numbered questions for you to ask:

1. How do you find the common difference in an arithmetic sequence?
2. Can you solve a quadratic equation for me?
3. How do you find the sum of an arithmetic series?
4. Can you explain the concept of geometric sequences?
5. How do you determine if a number is prime?

Tip: When identifying patterns in a sequence, always check for a common difference or ratio first to determine if it is arithmetic or geometric.