What Comes Next? #342

Pattern puzzle 342 card

Challenge type: What Comes Next?  ·  Difficulty: ★★★★☆ Tricky

A pattern is a rule that repeats. Find the rule, and you can tell what comes next. Beep boop!

Pattern: 1, 4, 11, 14, 21, 24, then a question mark. Choices: A: 29; B: 31; C: 62; D: 21.
What comes next: A, B, C or D?

The pattern in words: 1, 4, 11, 14, 21, 24, and then… what?

Your choices

  • A: 29
  • B: 31
  • C: 62
  • D: 21
Need a hint?

The gaps between the numbers are not all the same, but they do follow a pattern of their own.

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.