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Pattern Detective
Find the missing term in ten number sequences, from easy stepping rules to more involved patterns.
Number patterns · no account needed
How to play
Look at the differences between neighbouring numbers and ask whether they rise regularly. Other possibilities include multiplication, square numbers, alternating operations and the sum of the two previous terms.
There are ten rounds per game, selected from a larger bank of twenty sequences. The Show the rule button gives away the intended pattern, so try to work it out before using the hint.
How to spot a number pattern
Start with the simplest explanation and only add complexity when the numbers demand it. Compare neighbouring terms, then test whether the differences or ratios themselves form a pattern.
- Differences: look for a constant or steadily changing amount.
- Ratios: test multiplication or division.
- Alternation: odd and even positions may follow separate rules.
- Recursive rules: later terms may depend on earlier terms, such as adding the previous two values.
Avoid overfitting
Many number sequences can be continued in more than one mathematically possible way. In this game each round has an intended rule; use the simplest rule that explains every shown term. The “Show the rule” control reveals that intended pattern.
Continue with the number brain teasers or download the number pattern printable pack.