Ctrl+k

Describe pattern rules

A pattern rule describes how a pattern is generated or repeated, such as adding or subtracting a constant amount, multiplying by a simple whole number, or repeating a cycle of elements. The rule can be expressed in words, a table, a sequence, or a visual representation and used to determine missing or later terms, rather than merely listing observed terms; formal algebraic formulas, variables, and generalized proofs are not included.

Detailed Explanation: Describe pattern rules

A pattern rule tells how to get from one term to the next. Look for what changes each time.

Example: Find the rule and the next two numbers.

4, 7, 10, 13, □, □4,\ 7,\ 10,\ 13,\ \square,\ \square

Step 1: Compare neighboring numbers.

  • 44 to 77: add 33
  • 77 to 1010: add 33
  • 1010 to 1313: add 33

The same change happens each time.

Step 2: Say the rule in words.

The rule is: Add 33 each time.

Step 3: Use the rule to find the missing terms.

Starting with 1313:

  • 13+3=1613+3=16
  • 16+3=1916+3=19

So the completed pattern is

4, 7, 10, 13, 16, 194,\ 7,\ 10,\ 13,\ 16,\ 19

The pattern rule is add 33 each time.

Learn by doing: Describe pattern rules

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Patterning - Rule for Geometric Pattern


    ?