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Which type of pattern is based on multiplication and division?
- a)Arithmetic pattern
- b)Geometric pattern
- c)Fibonacci pattern
- d)Growing pattern
Correct answer is option 'B'. Can you explain this answer?
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Which type of pattern is based on multiplication and division?a)Arithm...
Understanding Geometric Patterns
Geometric patterns are sequences where each term is generated by multiplying or dividing the previous term by a constant. This characteristic sets them apart from other types of patterns.
Key Characteristics of Geometric Patterns:
- Constant Ratio: Each term in a geometric sequence is obtained by multiplying the previous term by a fixed number, known as the common ratio. For example, in the sequence 2, 4, 8, 16, the common ratio is 2.
- Example of Multiplication:
- Starting with 3:
- 3 (1st term)
- 3 x 2 = 6 (2nd term)
- 6 x 2 = 12 (3rd term)
- 12 x 2 = 24 (4th term)
This shows multiplication as the basis of the pattern.
- Example of Division:
- Starting with 64:
- 64 (1st term)
- 64 ÷ 2 = 32 (2nd term)
- 32 ÷ 2 = 16 (3rd term)
- 16 ÷ 2 = 8 (4th term)
This illustrates division as a way to create the pattern.
Comparison with Other Patterns:
- Arithmetic Pattern: Involves addition or subtraction with a constant difference. For example, 2, 4, 6, 8 (adding 2).
- Fibonacci Pattern: Each term is the sum of the two preceding terms, like 0, 1, 1, 2, 3, 5.
- Growing Pattern: Can refer to various sequences but doesn’t specifically define multiplication or division.
Conclusion:
Geometric patterns are fundamentally linked to multiplication and division, making option 'B' the correct answer. Understanding these patterns helps in grasping more complex mathematical concepts later in education.
Geometric patterns are sequences where each term is generated by multiplying or dividing the previous term by a constant. This characteristic sets them apart from other types of patterns.
Key Characteristics of Geometric Patterns:
- Constant Ratio: Each term in a geometric sequence is obtained by multiplying the previous term by a fixed number, known as the common ratio. For example, in the sequence 2, 4, 8, 16, the common ratio is 2.
- Example of Multiplication:
- Starting with 3:
- 3 (1st term)
- 3 x 2 = 6 (2nd term)
- 6 x 2 = 12 (3rd term)
- 12 x 2 = 24 (4th term)
This shows multiplication as the basis of the pattern.
- Example of Division:
- Starting with 64:
- 64 (1st term)
- 64 ÷ 2 = 32 (2nd term)
- 32 ÷ 2 = 16 (3rd term)
- 16 ÷ 2 = 8 (4th term)
This illustrates division as a way to create the pattern.
Comparison with Other Patterns:
- Arithmetic Pattern: Involves addition or subtraction with a constant difference. For example, 2, 4, 6, 8 (adding 2).
- Fibonacci Pattern: Each term is the sum of the two preceding terms, like 0, 1, 1, 2, 3, 5.
- Growing Pattern: Can refer to various sequences but doesn’t specifically define multiplication or division.
Conclusion:
Geometric patterns are fundamentally linked to multiplication and division, making option 'B' the correct answer. Understanding these patterns helps in grasping more complex mathematical concepts later in education.
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Community Answer
Which type of pattern is based on multiplication and division?a)Arithm...
Geometric patterns are based on multiplication and division, according to the text.
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Which type of pattern is based on multiplication and division?a)Arithmetic patternb)Geometric patternc)Fibonacci patternd)Growing patternCorrect answer is option 'B'. Can you explain this answer?
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Which type of pattern is based on multiplication and division?a)Arithmetic patternb)Geometric patternc)Fibonacci patternd)Growing patternCorrect answer is option 'B'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about Which type of pattern is based on multiplication and division?a)Arithmetic patternb)Geometric patternc)Fibonacci patternd)Growing patternCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which type of pattern is based on multiplication and division?a)Arithmetic patternb)Geometric patternc)Fibonacci patternd)Growing patternCorrect answer is option 'B'. Can you explain this answer?.
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