Math Playground
Activities

Make Your Own Number Patterns

Pick a starting number and a rule — let the sequence run wild.

Pick a starting number and a rule. Apply it again and again. A pattern unfolds — sometimes simple, sometimes wild.

Classic patterns to try

  • Start 1, add 2 each time → 1, 3, 5, 7… (odd numbers)
  • Start 1, double each time → 1, 2, 4, 8, 16… (powers of 2)
  • Start 1, add the previous → 1, 1, 2, 3, 5, 8… (Fibonacci)
  • Triangular: 1, 3, 6, 10, 15 — add one more each step

The Fibonacci sequence shows up in pinecones, sunflower seed spirals and pineapple skin. Nature loves this rule.