Explanation Given: Suppose that a corporate executive deposits $2000 per year for 35 years into an individual retirement account. Interest is compounded annually at the rate of 8%. Definition used: A recurrence relation is a procedure for finding the terms of a sequence in a recursive manner. It is an equation that recursively defines a sequence where the next term is a function of the previous terms. Formula used: The solution of the recurrence relation s n = a 1 s n − 1 + a 2 is s n = a 1 n ( s 0 + a 2 a 1 − 1 ) − a 2 a 1 − 1 . Calculation: Letting v n represent the value of the account after n years. Since, interest is compounded annually at the rate of 8%, so it would be: v n = 1.08 v n − 1 Also, corporate executive deposits $2000 per year, so the recurrence relation, would be: v n = v n − 1 + .08 v n − 1 + 2000 v n = 1.08 v n − 1 + 2000 The initial condition is v 0 = 0. Compare the recurrence relation v n = 1.08 v n − 1 + 2000 with v n = a 1 v n − 1 + a 2 , to get the following

5th Edition

ISBN: 9780134689562

Author: Dossey, John A.

Publisher: Pearson,

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Question

Chapter 9.3, Problem 28E

To determine

To find: the account be worth after the last deposit.

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Chapter 9.3, Problem 26E

Chapter 9.3, Problem 30E

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Chapter 9 Solutions

Discrete Mathematics

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Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - Prob. 15E Ch. 9.1 - Prob. 16E Ch. 9.1 - Prob. 17E Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - Prob. 23E Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - Prob. 29E Ch. 9.1 - Prob. 30E Ch. 9.1 - Prob. 31E Ch. 9.1 - Suppose that you have an unlimited supply of red,...Ch. 9.1 - Prob. 33E Ch. 9.1 - Prob. 34E Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.2 - Prove by mathematical induction that n2 − n + 2 is...Ch. 9.2 - Prob. 2E Ch. 9.2 - Prob. 3E Ch. 9.2 - Prob. 4E Ch. 9.2 - Prob. 5E Ch. 9.2 - Prove by mathematical induction that is a...Ch. 9.2 - Prob. 7E Ch. 9.2 - Prob. 8E Ch. 9.2 - Prob. 9E Ch. 9.2 - Prob. 10E Ch. 9.2 - In Exercises 11–24, use the method of iteration to...Ch. 9.2 - Prob. 12E Ch. 9.2 - In Exercises 11–24, use the method of iteration to...Ch. 9.2 - In Exercises 11–24, use the method of iteration to...Ch. 9.2 - Prob. 15E Ch. 9.2 - In Exercises 11–24, use the method of iteration to...Ch. 9.2 - In Exercises 11–24, use the method of iteration to...Ch. 9.2 - Prob. 18E Ch. 9.2 - Prob. 19E Ch. 9.2 - Prob. 20E Ch. 9.2 - Prob. 21E Ch. 9.2 - Prob. 22E Ch. 9.2 - Prob. 23E Ch. 9.2 - Prob. 24E Ch. 9.2 - Prob. 25E Ch. 9.2 - Prob. 26E Ch. 9.2 - Prob. 27E Ch. 9.2 - Prob. 28E Ch. 9.2 - Prob. 29E Ch. 9.2 - Consider the sequences of n terms in which each...Ch. 9.2 - Prob. 31E Ch. 9.2 - Prob. 32E Ch. 9.2 - Prob. 33E Ch. 9.2 - Prob. 34E Ch. 9.3 - In Exercises 1–24, find an explicit formula for sn...Ch. 9.3 - Prob. 2E Ch. 9.3 - Prob. 3E Ch. 9.3 - Prob. 4E Ch. 9.3 - Prob. 5E Ch. 9.3 - Prob. 6E Ch. 9.3 - Prob. 7E Ch. 9.3 - Prob. 8E Ch. 9.3 - Prob. 9E Ch. 9.3 - Prob. 10E Ch. 9.3 - Prob. 11E Ch. 9.3 - Prob. 12E Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Prob. 15E Ch. 9.3 - Prob. 16E Ch. 9.3 - Prob. 17E Ch. 9.3 - Prob. 18E Ch. 9.3 - Prob. 19E Ch. 9.3 - 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