Finding Patterns and Rules
Name: _______________________________
Date: _______________________________
Instructions: Look carefully at each number pattern. Write the next two numbers in the sequence, then write a rule to describe the pattern.
Part A: Continue the Pattern
1.
3, 6, 9, 12, 15, _____, _____
2.
5, 10, 15, 20, 25, _____, _____
3.
2, 4, 6, 8, 10, _____, _____
4.
1, 4, 7, 10, 13, _____, _____
5.
50, 45, 40, 35, 30, _____, _____
Part B: Write a Rule
Describe each pattern using words or symbols. (Example: add 5 each time, or n + 5)
1. Rule: _______________________________________________
2. Rule: _______________________________________________
3. Rule: _______________________________________________
4. Rule: _______________________________________________
5. Rule: _______________________________________________
Part C: Complete the Tables
Find the pattern and fill in the missing numbers.
Table 1:
| Input | Output |
|---|---|
| 1 | 4 |
| 2 | 8 |
| 3 | 12 |
| 4 | _____ |
| 5 | _____ |
Rule: _______________________
Table 2:
| Input | Output |
|---|---|
| 1 | 6 |
| 2 | 7 |
| 3 | 8 |
| 4 | _____ |
| 5 | _____ |
Rule: _______________________
🌟 Challenge
Create your own number pattern and write the rule:
My pattern: _____, _____, _____, _____, _____, _____, _____
My rule: _________________________________________________________