1. Use inductive reasoning to predict the next number in each list. a. 3, 6, 9, 12, 15, 18, ? b. 10, 19, 28, 37, 46, ? c. 6, 9, 15, 24, 36, 51, ? d. 1/2, 5/2, 13/2, 25/2, 41/2, ? e. -6, -13/2, -7, -15/2, -8, ? Ex: a. 2, 5, 9, 14, 20, ? Ans: The first two numbers differ by 3. The second and the third differ by 4. The difference between any two numbers tends to be always 1 more than the preceding difference. We assume that the next number in the list will be 7 larger than 20, which is 27, since 14 and 20 differ by 6.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 8ECP: In how many different ways can two letters be chosen from the letters A, B, C, D, E, F, and G? (The...
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1. Use inductive reasoning to predict the next number in each list. a. 3, 6, 9, 12, 15, 18, ? b. 10, 19, 28, 37, 46, ? c. 6, 9, 15, 24, 36, 51, ? d. 1/2, 5/2, 13/2, 25/2, 41/2, ? e. -6, -13/2, -7, -15/2, -8, ? Ex: a. 2, 5, 9, 14, 20, ? Ans: The first two numbers differ by 3. The second and the third differ by 4. The difference between any two numbers tends to be always 1 more than the preceding difference. We assume that the next number in the list will be 7 larger than 20, which is 27, since 14 and 20 differ by 6.
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