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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This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State University.

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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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