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A comprehensive review of inductive reasoning concepts, including making conclusions based on patterns, generating sequences, writing conjectures, and identifying counterexamples. It covers a variety of sequence types, such as arithmetic progressions, geometric progressions, and fibonacci sequences, and asks the reader to complete the sequences and write conjectures. The document also includes true/false questions and asks the reader to provide counterexamples when the statements are false. This review material is likely intended for students preparing for an exam on inductive reasoning, as it covers the key concepts and provides practice questions to test understanding.
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Making conclusions based on patterns you observe. - Inductive Reasoning A conclusion based on inductive reasoning. - Conjecture An example that shows a conjecture is false - What is Counterexample? 9, 11, 13, 15, 17 To generate the next term keep counting by odds. - Find the next five terms of the sequence then write a conjecture: 1,3,5,7,__, __, __, __, __ 25, 30, 35, 40, 45. To generate the next term add by five - 5, 10, 15, 20, __, __, __, __, __. Finish the sequence and write a conjecture. 13, 21, 34, 55 To generate the next term you add the term before it and the current term together. - 1, 2, 3, 5, 8, __, __, __, __ Finish the sequence and write a conjecture. G, I, J To generate the next term skip one letter an go to the next. - A, C, E, __, __, __ Finish the sequence and write a conjecture. Add ten to get the next term. - Write a rule for the pattern: 10, 20, 30, 40, ... Multiply each term by two to get the next term. - Write a rule for the pattern: 1, 2, 4, 8, 16, ... Add the last two numbers to get the next number. - Write a rule for the pattern: 1, 1, 2, 3, 5, 8, 13, ... Start with - 1, alternate to positive then go to the next negative integer. - Write a rule for the pattern:
Start with 2 and add by 5's - Write a rule for the pattern: 2, 7, 12, 17, 22, ... Some clovers have four leaves - Provide a counterexample: All clovers have three leaves 8 + (-5) = 3, 3 is less than 8 - Provide a counterexample: The sum of two numbers is always greater than either of the two numbers. True - True or False? The sum of two even numbers always equals an even number? False 5 squared equals 25 - True or false. If false provide a Counterexample. When squaring a number it's always even. False - 5*-6= 30 - True or false. If false provide a Counterexample.The product of two negative numbers equal a negative.