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# 1-1 notes (1) - numbers 16 7 5 3 1 9 5 3 1 4 3 1 1 1 = = =...

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Section 1.1 Patterns and Inductive Reasoning Who can find the pattern? 1) 2, 5, 8, 11, 14, 17…….. 2) 1, 2, 4, 7, 11………… 3) 1, 2, 3, 5, 8, 13, 21……. Inductive reasoning- reasoning that is based on patterns you observe What is next in the sequences below? 1) 2, 4, 8, 16, 32……. 2) 3) January, March, June……….

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______________________________________________ Conjecture: a conclusion you reach using inductive reasoning Make a conjecture about the sum of the first 30 odd

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Unformatted text preview: numbers. 16 7 5 3 1 9 5 3 1 4 3 1 1 1 = + + + = + + = + = Make a conjecture about the sum of the first 35 odd numbers Counterexample- a counter example to a conjecture is an example for which the conjecture is incorrect. 1) The cube of any number is greater than that number, 64 4 3 h , find a counterexample. 2) You can connect any 3 points to form a triangle. Make your own Conjecture and find a counterexample. Homework: p. 6 (2-12 even, 8-36 even, 44,47)...
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1-1 notes (1) - numbers 16 7 5 3 1 9 5 3 1 4 3 1 1 1 = = =...

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