What Comes Next? #416

Pattern puzzle 416 card

Challenge type: What Comes Next?  ·  Difficulty: ★★★★★ Super tricky

Beep’s lights are blinking in a pattern, but one light is hiding. Can you work out what it should be?

Pattern: 14, 15, 17, 20, 24, 29, then a question mark. Choices: A: 40; B: 34; C: 35; D: 36.
What comes next: A, B, C or D?

The pattern in words: 14, 15, 17, 20, 24, 29, and then… what?

Your choices

  • A: 40
  • B: 34
  • C: 35
  • D: 36
Need a hint?

Write the gaps between the numbers underneath. Do the gaps make a pattern?

Did you know? When coders spot a pattern, they can write a loop: a few lines of code that repeat the rule as many times as they like. The answer page shows this pattern as real Python code!

For teachers and grown-ups

Skills practised: Pattern recognition, abstraction, and predicting the next step of a rule.

The big idea: Spotting a pattern lets a programmer replace lots of repeated steps with one short loop.

Questions to ask:

  • What is the rule, in your own words?
  • How many items repeat before the pattern starts again?
  • What would the 20th item be? How could you work it out without drawing them all?

Take it further: Children invent their own pattern with a hidden rule and challenge a partner to find it.