Explanation 1) Concept: The formula for general term a n can be used to find any n t h term in a given sequence. 2) Given: Given that Mark has 14 days’ vacation, So, the number of days is n = 14. He is given $0.10 on the first day, $0.20 on the second day, $0.40 on the third day and so on. 3) Calculation: Let a 1 = $ 0.10 , a 2 = $ 0.20 , a 3 = $ 0.40 and so on. To Write an equation for the sequence whose terms correspond to Mark’s allowance. Since, Mark was given $0.10 on the first day, and we see that the rest of the days he is given multiples of $0.10, we take $0.10 common for all terms. So, the general term of the sequence must be having a $0.10. On the first day a 1 , Mark was given $0.10. It can be rewritten as, a 1 = $ 0.10 × 2 0 . Next, we observe that, On the second day a 2 , Mark was given $0.20. a 2 = $ 0.10 × 2 (Taking 0.10 common for all terms in the sequence). a 2 = $ 0.10 × 2 1 . An exponent refers to the number of times a number will be multiplied itself. On the third day a 3 , Mark was given $0.40. a 3 = $ 0.10 × 4 (Taking 0.10 common for all terms in the sequence). a 3 = $ 0.10 × 2 × 2 . a 3 = $ 0

Beginning & Intermediate Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (6th Edition)

6th Edition

ISBN: 9780134194004

Author: Elayn Martin-Gay

Publisher: PEARSON

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Question

Chapter 14.1, Problem 41E

To determine

To evaluate:

To Write an equation for a sequence whose terms corresponds to Mark’s allowance given that Mrs. Laser agrees to give him an allowance of $0.10 on the first day of his 14-day vacation, $0.20 on the second day, $0.40 on the third day and so on. We are also asked to find the allowance Mark will receive on the last day of his vacation.

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Chapter 14.1, Problem 40E

Chapter 14.1, Problem 42E

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Chapter 14 Solutions

Beginning & Intermediate Algebra Plus NEW MyLab Math with Pearson eText -- Access Card Package (6th Edition)

Ch. 14.1 - Prob. 1P Ch. 14.1 - Prob. 2P Ch. 14.1 - Prob. 3P Ch. 14.1 - Prob. 4P Ch. 14.1 - Prob. 1V Ch. 14.1 - Prob. 2V Ch. 14.1 - Prob. 3V Ch. 14.1 - Prob. 4V Ch. 14.1 - Prob. 5V Ch. 14.1 - Prob. 6V

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