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Grown-ups: keep this page to yourself until your child has had a go.

Kidorizon · Grades 9–12 · free printable · kidorizon.com

Sequences & Recurrences · Answer Key

Check the answers together. If an answer is different from yours, talk about how each of you got there. Both ways of thinking are worth hearing.

Level 1: Warm-up

  1. -17-11-5171319Rule: Add 6 each time.
  2. 2112029384756Rule: Add 9 each time.
  3. 312481927683072Rule: Multiply by 4 each time.
  4. 210502501250Rule: Multiply by 5 each time.

Level 2: Stretch

  1. 25101726375065Rule: The jump grows each time: +3, +5, +7, +9, and so on.
  2. 014916253649Rule: The jump grows each time: +1, +3, +5, +7, and so on.
  3. 3108151320182523Rule: Add 7, then add -2, then repeat: +7, +-2, +7, +-2...
  4. 156101115162021Rule: Add 4, then add 1, then repeat: +4, +1, +4, +1...

Level 3: Challenge

  1. 3471118294776Rule: Add the two numbers before it to get the next number.
  2. 134711182947Rule: Add the two numbers before it to get the next number.
  3. 591729456589Rule: The jump grows each time: +4, +8, +12, +16, and so on.
  4. 1392781243729Rule: Multiply by 3 each time.

Kidorizon practice sheets build thinking skills. They are not a test or assessment. More free activities at kidorizon.com/play