3 – 6 Inductive Reasoning.

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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,__ 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.

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.