Math Problem Statement
Solution
In this activity, we need to determine if the given patterns are linear or not. Let's examine each pattern individually:
-
Pattern 1: 5, 15, 45, 135
- This pattern does not increase by a constant difference but rather appears to increase by a common ratio (multiplying by 3 each time: , , etc.).
- Therefore, this is not a linear pattern (answer: N).
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Pattern 2: 1.2, 1.5, 1.8, 2.1
- Here, each term increases by a constant difference of 0.3 (1.5 - 1.2 = 0.3, 1.8 - 1.5 = 0.3, etc.).
- This is a linear pattern (answer: Y).
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Pattern 3: 105, 100, 96, 92
- In this pattern, each term decreases by a constant difference of 5 (105 - 100 = 5, 100 - 96 = 4, 96 - 92 = 4).
- This is a linear pattern
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Math Problem Analysis
Mathematical Concepts
Linear and Non-linear Patterns
Arithmetic Sequence
Geometric Sequence
Formulas
Constant difference for linear patterns
Constant ratio for geometric sequences
Theorems
Linear relationships have a constant rate of change
Suitable Grade Level
Grade 8
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