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EXAMPLE 1. Use Inductive Reasoning to Predict a Number Use inductive reasoning to predict the next number in each of the following lists. a. 3, 6, 8, 12, 15, ? b.) 1, 3, ,6, 10, 15, ?

EXAMPLE 1. Use Inductive Reasoning to Predict a Number Use inductive reasoning to predict the next number in each of the following lists. a. 3, 6, 8, 12, 15, ? b.) 1, 3, ,6, 10, 15, ?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 6CT: Name the type of reasoning used in the following scenario. While shopping for a new television,...
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reasoning is the process of reaching a general conclusion by examining specific examples. EXAMPLE 1. Use Inductive Reasoning to Predict a Number Use inductive reasoning to predict the next number in each of the following lists. a. 3, 6, 8, 12, 15, ? b.) 1, 3, ,6, 10, 15, ? Solution. a.) Each successive number is 3 larger than the preceding number. Thus we predict that the next number in the list is 3 larger than 15, which is 18. b.) The first two numbers differ by 2. The second and third number differs by 3. It appears that the difference between any two numbers is always 1 more than the preceding difference. Since 10 and 15 differ by 5, we predict that the next number in the list will be 6 larger than 15 which is 21
Transcribed Image Text:reasoning is the process of reaching a general conclusion by examining specific examples. EXAMPLE 1. Use Inductive Reasoning to Predict a Number Use inductive reasoning to predict the next number in each of the following lists. a. 3, 6, 8, 12, 15, ? b.) 1, 3, ,6, 10, 15, ? Solution. a.) Each successive number is 3 larger than the preceding number. Thus we predict that the next number in the list is 3 larger than 15, which is 18. b.) The first two numbers differ by 2. The second and third number differs by 3. It appears that the difference between any two numbers is always 1 more than the preceding difference. Since 10 and 15 differ by 5, we predict that the next number in the list will be 6 larger than 15 which is 21
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