Using Variables in Number Patterns
Instructions: Look at each number pattern. Find the rule and write it using algebra. Use n to represent the position number.
1. Pattern: 3, 6, 9, 12, 15, ...
What is the rule for this pattern?
Rule: ________________________________________
2. Pattern: 5, 10, 15, 20, 25, ...
What is the rule for this pattern?
Rule: ________________________________________
3. Pattern: 2, 4, 6, 8, 10, ...
What is the rule for this pattern?
Rule: ________________________________________
4. Pattern: 7, 14, 21, 28, 35, ...
What is the rule for this pattern?
Rule: ________________________________________
5. Pattern: 1, 3, 5, 7, 9, ...
What is the rule for this pattern?
Rule: ________________________________________
6. Pattern: 4, 8, 12, 16, 20, ...
What is the rule for this pattern?
Rule: ________________________________________
Challenge Questions:
7. If the rule is n × 6, write the first 5 numbers in the pattern:
_______, _______, _______, _______, _______
8. Create your own pattern with the rule n × 9:
_______, _______, _______, _______, _______
9. The 10th number in the pattern 3, 6, 9, 12, ... is:
_______