Number patterns are sequences of numbers that follow a specific rule. Each number in the pattern is found by applying the same rule again and again.
A rule tells you how to move from one number to the next. The same rule must work every time in the sequence.
To find the rule, compare the numbers in the pattern. Look at how each number changes to the next—does it add, subtract, multiply, or divide?
If the pattern gets larger, the rule may be addition or multiplication. If it gets smaller, the rule may be subtraction or division.
Most patterns use simple operations to make the sequence. You will often see these rules in your math work:
Always check that the rule works for every number in the sequence, not just the first two.
When some numbers are missing, use the rule to fill in the blanks. Apply the rule step by step until the pattern is complete.
Think of a missing number as a puzzle piece. Use the rule to find what belongs in the empty spot.
Patterns help us see relationships between numbers. They are the foundation for algebra, problem solving, and real-world math situations.
Recognizing patterns makes math easier and prepares you for higher-level problem solving.