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Transcript

3 – 6 Inductive Reasoning 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. • Ex. 2 Predict the next number. • a) 17, 15, 12, 8,__ • 16 16 b) 48, 16, , , ___ 3 9 • 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. • 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.