patterns, inductive reasoning & conjecture. inductive reasoning inductive reasoning is reasoning...
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Patterns, Inductive Reasoning & Conjecture
Inductive Reasoning
• Inductive reasoning is reasoning that is based on patterns you observe.
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Conjecture
• A conclusion you reach using inductive reasoning.
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• What conjecture can you make about the twenty-first term in R, W, B, R, W, B, . . . ?
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• What conjecture can you make about the first 30 odd numbers?
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Counterexamples
• Not all conjectures will turn out to be true, you should always test your conjecture, to prove a conjecture false you only need to find one counterexample.
• Counterexample is an example that shows a conjecture is incorrect.
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• Write a counterexample for each conjecture.– If a flower is red it is a rose. – One and only one plane exists through any
three points– When you multiply a number by three the
product is divisible by six.
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