Patterns and Sequences
⭐ MasteredA sequence follows a rule. In 2, 4, 6, 8… the rule is add 2. Spotting the rule lets you predict the next numbers.
The Fibonacci sequence adds the two previous numbers: 1, 1, 2, 3, 5, 8…
All about Patterns and Sequences
A sequence is an ordered list of numbers that follows a rule.
Some sequences multiply, such as 1, 2, 4, 8, where each number is double the one before. Others mix operations or alternate. Looking closely at the differences between terms is the best way to spot the rule.
Finding the rule lets you predict what comes next, so the next number after 8 is 10.
Patterns are everywhere, from the stripes on a tiger to the beats in a song. Some sequences go down rather than up, such as 20, 17, 14, 11, where the rule is to subtract 3 each time. Looking for the rule is a powerful maths skill.
🎮 Try it yourself!
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Real-life uses of Patterns and Sequences
- Predicting the next number in a number puzzle
- Describing repeating patterns in tiles and fabric
- Planning a savings plan that grows each month
Frequently asked questions about Patterns and Sequences
What is the rule for the sequence 3, 6, 12, 24?
Multiply each number by 2.
What is a Fibonacci sequence?
A sequence where each number is the sum of the two before it, starting 1, 1, 2, 3, 5, 8 and so on.
How do I find the next term in a pattern?
Work out the difference between terms, or what you multiply by, and apply that same step to the last number.