Introduction
Patterns are sequences that repeat according to a specific rule. In mathematics, number patterns help us understand the relationship between numbers and predict what comes next. Identifying the rule of a pattern is the key to solving number sequences.
Explanation Step by Step
To solve a number pattern, follow these steps:
Sub-topics
Patterns - Numbers
Number patterns can be based on addition, subtraction, multiplication, or even skip counting. For example, in the sequence 5, 10, 15, 20, the rule is adding 5 to the previous number.
Examples
Example 1
Tricks and Shortcuts
To find a pattern rule quickly, subtract the first number from the second number. If the difference stays the same for the third number, you have found the rule.
Common Mistakes
Assuming a pattern is only about addition. Always check if the numbers are doubling (multiplication) or decreasing (subtraction).
Practice Questions
Easy Questions
- Complete the pattern: 2, 4, 6, 8, __.
- Identify the next number: 11, 22, 33, 44, __.
- What comes next? 5, 10, 15, 20, __.
Medium Questions
- Find the missing number: 100, 90, 80, __, 60.
- Identify the rule and complete: 3, 6, 12, 24, __.
- Complete the sequence: 1, 4, 7, 10, __.
Hard Questions
- Find the next two numbers: 1, 2, 4, 7, 11, __, __.
- What is the 10th number in the pattern: 5, 10, 15, 20...?
- Identify the error in this pattern: 2, 5, 8, 10, 14, 17.
Revision Summary
Patterns follow a fixed rule. By identifying whether a sequence is increasing or decreasing and finding the common difference, we can predict any number in the set.