**Question:**Predicting the next item in a pattern is an example of deductive reasoning.- ○ True- ○ FalseThere are no graphs or diagrams in the image.

Answered: Predicting the next item in a pattern…

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 1CT

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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
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Thinking/Logic Problem A group of students was surveyed about their lunch preferences. Use the clues below to figure out how many students like hamburgers, hot dogs, and/or pizza for lunch. Of course, some students chose more than one of the foods. Some may have chosen all three! Place your answers in the appropriate sections of the Venn Diagram. Hot Dogs Hamburger A total of 70 students were surveyed. 27 students like hot dogs. 26 students like pizza. 12 like hamburgers and hot dogs 8 like hot dogs and pizza 12 like only pizza 3 like all three - hamburgers. hot dogs, and pizza B Pizza [ Choose ] [ Choose ] [ Choose ]

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Predicting the next item in a pattern is an example of deductive reasoning. O True O False