Number Sequences: Finding the Rule and Next Term

A number sequence is an ordered list of numbers that follows a specific pattern or rule. Understanding these rules is a key skill for 11+ exams, helping you predict future terms in the sequence.

A linear number sequence is a common type where the difference between consecutive terms remains constant. This constant difference is the ‘rule’ of the sequence, which can involve adding or subtracting the same number each time.

To find the rule in a sequence, look at the difference between the first two numbers, then the second and third, and so on. If this difference is always the same, you've found the rule. For example, in 3, 6, 9, 12, the rule is ‘add 3’.

Once you've identified the rule, finding the next term in a sequence is straightforward. Simply apply the rule to the last given number. If the rule is ‘add 3’ and the last term is 12, the next term will be 12 + 3 = 15.