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3 – 6 Inductive Reasoning
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B) Using Inductive Reasoning:
1) Look for a pattern 2) Make a conjecture - A conjecture is an unproven statement that is based on observations. 3) Verify the conjecture – that it is true in all cases 4) Counterexample – give an example that shows a conjecture is false.
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Ex. 2 Predict the next number.
a) 17, 15, 12, 8,__ b) 48, 16, ___ Ex. 3 Sketch the next figure. Now write the first four terms of a sequence of numbers that gives the number of toothpicks used to form each figure. Predict the next number.
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Accept the two statements as given information
Accept the two statements as given information. State a conclusion based on deductive reasoning. 1) AB is longer than BC. BC is longer that CD. 2) 12 is greater than interger m. m is greater than 8.
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