Pick any number, multiply the number by 4, add 12 to the
Chapter 1, Problem 1.1.39(choose chapter or problem)
Pick any number, multiply the number by 4, add 12 to the product, divide the sum by 4, and subtract 3 from the quotient. See Example 5. a) What is the relationship between the number you started with and the final number? b) Arbitrarily select some different numbers and repeat the process, recording the original number and the result. c) Can you make a conjecture about the relationship between the original number and the final number? d) Try to prove, using deductive reasoning, the conjecture you made in part (c). See Example 6.
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