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Questions and Answers
What type of reasoning uses patterns, trends, and observations to draw a conclusion?
In the Fibonacci sequence, what number comes after 5?
What can be concluded about all drummers who feel pain in their arms after rehearsing for three hours straight?
What is the conclusion drawn from the hypothesis 'Filipinos are religious' and the statement 'Maria is a Filipino'?
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Which type of reasoning judges by experience and uses patterns, trends, or general observations?
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What type of reasoning takes specific examples to make a general rule?
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In mathematics, reasoning is the ability to draw logical conclusions based on ____________ or stated assumptions.
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Which type of reasoning takes a general rule and uses it to make a more specific example?
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What type of reasoning involves searching for patterns and making generalizations?
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How is mathematical reasoning defined?
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Study Notes
Types of Reasoning
- Inductive reasoning uses patterns, trends, and observations to draw a conclusion
- It involves searching for patterns and making generalizations
Fibonacci Sequence
- In the Fibonacci sequence, the number that comes after 5 is 8
Types of Reasoning
- Deductive reasoning takes a general rule and uses it to make a more specific example
- It judges by experience and uses patterns, trends, or general observations
Mathematical Reasoning
- In mathematics, reasoning is the ability to draw logical conclusions based on given or stated assumptions
- It defined as the ability to draw logical conclusions based on certain assumptions
Specific Examples
- If a hypothesis is "Filipinos are religious" and the statement is "Maria is a Filipino", then it can be concluded that Maria is religious
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Description
Prepare for lesson 21 on inductive and deductive reasoning in mathematics, focusing on differentiating between the two types of reasoning and their uses in arguments. Explore the ability to draw logical conclusions based on evidence or assumptions in mathematics.
