Pattern — Definition, Formula & Examples
A pattern is a set of numbers, shapes, or objects that follow a predictable rule or sequence. Once you spot the rule, you can figure out what comes next.
A pattern is an ordered arrangement of elements governed by a consistent rule or relationship, such that subsequent elements can be determined by applying that rule to the preceding elements.
How It Works
To find a pattern, look at how each element changes from one to the next. Ask yourself: is something being added, subtracted, multiplied, or repeated? Once you identify the rule, test it on every pair of consecutive elements to make sure it holds. Then apply the rule to predict the next element in the sequence.
Worked Example
Problem: Find the next two numbers in the pattern: 3, 7, 11, 15, ___, ___
Find the rule: Subtract each number from the one after it to see what changes.
Apply the rule: Each number is 4 more than the previous one. Add 4 to continue the pattern.
Answer: The next two numbers are 19 and 23.
Why It Matters
Recognizing patterns is one of the earliest skills that leads to algebra, where you write rules as equations. Scientists, musicians, and programmers all rely on patterns to make predictions, compose music, and write efficient code.
Common Mistakes
Mistake: Checking only one pair of elements and assuming you found the rule.
Correction: Always verify the rule works for every consecutive pair in the sequence before extending it.