Number patterns — Mathematics, 7–10
A number pattern follows a rule that makes the next number predictable. Finding the rule turns a list of numbers into a useful way of thinking.
The rule behind the list
A number pattern is a list whose numbers change in a regular way. The rule might add 4 each time, double each number, or use another repeatable step. Once you spot the rule, you can continue the list and check whether another number belongs.
Why look for patterns?
A long list can hide what is happening, and guessing the next number is unreliable. A rule gives a short explanation that works again and again. People use patterns to predict totals, organise information and notice when something does not fit.
Building a pattern
Start with 3 and add 5 each time: 3, 8, 13, 18. The next number is 18 + 5 = 23. To check the rule, subtract neighbouring numbers: 8 − 3, 13 − 8 and 18 − 13 are all 5, so 23 is not a guess but the next planned step.
One pattern is not the only pattern
A common mistake is to see only the difference between two numbers and assume it must continue. That is reasonable because nearby numbers often do follow a simple adding rule. But 2, 4, 8 could mean double each time, while another rule could fit a short list; test several steps before deciding.
Patterns in real life
Patterns appear in timetables, repeated designs, growing plants and saving money regularly. If a jar gains 2 euros each week, its total follows a pattern. The idea helps you predict what comes next, but only while the real situation keeps following the same rule.
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