1. Use deductive reasoning to show that the following procedure produces a number that is three times the original number. Procedure: Pick a number. Multiply the number by 6, add 10 to the product, divide the sum by 2, and subtract 5 2. Use deductive reasoning to show that the following procedure always produces a number that is equal to the original number. Procedure: Pick a number. Multiply the number by 6 and add 8. Divide the sum by 2, subtract twice the original number, and subtract 4.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 53E
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1. Use deductive reasoning to show that the following procedure produces a number that is three times the
original number.
Procedure: Pick a number. Multiply the number by 6, add 10 to the product, divide the sum by 2, and
subtract 5
2. Use deductive reasoning to show that the following procedure always produces a number that is equal to
the original number.
Procedure: Pick a number. Multiply the number by 6 and add 8. Divide the sum by 2, subtract twice
the original number, and subtract 4.

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