Numerical patterns and rules
Answers are for parents and teachers.
1
Write the rule and the next two terms: 9, 18, 36, 72.
Multiply by 2. Next: 144 and 288.
2
Start at 1.5 and add 0.25. Write the first six terms.
1.5, 1.75, 2, 2.25, 2.5, 2.75.
3
Pattern A: start 0, add 5. Pattern B: start 0, add 15. How is B related to A?
A: 0, 5, 10, 15 … B: 0, 15, 30, 45 … Each B term is 3 times the A term.
4
A tank has 30 L of water and 8 L are added every hour. How many litres after 6 hours?
30 + 6 × 8 = 30 + 48 = 78 L.
5
The n-th term is 7 × n. Which term is 63?
63 ÷ 7 = 9, so the 9th term.