Explanation Given Information: The provided statement is “The terms begin at 5 , oscillate and are unbounded”. Formula used: The general form of difference equation is y n = a y n − 1 + b ( with initial value y 0 ) Where a , b and y 0 are constant numbers. When the graph is monotonic choose a > 0 and for oscillating a < 0 . Also, if the graph is unbounded choose | a | > 1 and if approaches a value then | a | < 1 . To find b , put b 1 − a equals to that value. Calculation: Consider the provided statement that is “The terms begin at 5 , oscillate and are unbounded”. Since, the terms begin at 5 . Suppose the beginning value as y 0 . Thus, y 0 = 5 . Since the graph is oscillating unbounded. Thus, a should be a < 0 and | a | > 1 . Now suppose a = − 2 as the graph is oscillating and also | a | > 1 . As, the graph is oscillating and are unbounded. Find b , so that b 1 − a equals to value. Since, the graph is oscillating unbounded. So, there is not any specific value of b which equals b 1 − a . Thus, b = 0 . Now, put the value of a = − 2 in the general form of difference equation y n = a y n − 1 + b . Therefore, y n = − 2 y n − 1 Where y 0 = 5 . Thus, to find the value of y 1 , y 2 , y 3 , y 4 and y 5 . Case 1. For y 1 , put n = 1 and y 0 = 5 in the equation y n = − 2 y n − 1 . y n = − 2 y n − 1 y 1 = − 2 y 0 = − 2 ( 5 ) = − 10 Thus, the value of y 1 = − 10 . Case 2. For y 2 , put n = 2 and y 1 = − 10 in the equation y n = − 2 y n − 1 . y n = − 2 y n − 1 y 2 = − 2 y 1 = − 2 ( − 10 ) = 20 Thus, the value of y 2 = 20 . Case 3. For y 3 , put n = 3 and y 2 = 20 in the equation y n = − 2 y n − 1

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134437767

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

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Chapter 12.3, Problem 35E

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To calculate: The difference equation and confirm the answer by graphing the difference equation when the terms begin at 5, oscillate and are unbounded.

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Chapter 12.3, Problem 34E

Chapter 12.3, Problem 36E

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Chapter 12 Solutions

Finite Mathematics & Its Applications (12th Edition)

Ch. 12.1 - Consider the difference equation...Ch. 12.1 - Prob. 2CYU Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - For each of the difference equations in Exercises...Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E

Ch. 12.1 - Prob. 9E Ch. 12.1 - Prob. 10E Ch. 12.1 - Prob. 11E Ch. 12.1 - Prob. 12E Ch. 12.1 - Prob. 13E Ch. 12.1 - Prob. 14E Ch. 12.1 - Prob. 15E Ch. 12.1 - Prob. 16E Ch. 12.1 - Prob. 17E Ch. 12.1 - Prob. 18E Ch. 12.1 - Prob. 19E Ch. 12.1 - Population Decline Moldova has negative population...Ch. 12.1 - Prob. 21E Ch. 12.1 - Prob. 22E Ch. 12.1 - Prob. 23E Ch. 12.1 - Prob. 24E Ch. 12.1 - Prob. 25E Ch. 12.1 - Prob. 26E Ch. 12.1 - 27. Credit Card Mr. Jones owes $1000 on a credit...Ch. 12.1 - Prob. 28E Ch. 12.1 - Prob. 29E Ch. 12.1 - Prob. 30E Ch. 12.1 - Prob. 31E Ch. 12.1 - Prob. 32E Ch. 12.1 - Prob. 33E Ch. 12.1 - Prob. 34E Ch. 12.1 - Prob. 35E Ch. 12.2 - Prob. 1CYU Ch. 12.2 - Prob. 2CYU Ch. 12.2 - Prob. 1E Ch. 12.2 - Prob. 2E Ch. 12.2 - Prob. 3E Ch. 12.2 - Prob. 4E Ch. 12.2 - Prob. 5E Ch. 12.2 - Prob. 6E Ch. 12.2 - Prob. 7E Ch. 12.2 - Prob. 8E Ch. 12.2 - Prob. 9E Ch. 12.2 - Prob. 10E Ch. 12.2 - Prob. 11E Ch. 12.2 - Prob. 12E Ch. 12.2 - Prob. 13E Ch. 12.2 - Prob. 14E Ch. 12.2 - Prob. 15E Ch. 12.2 - Prob. 16E Ch. 12.2 - Prob. 17E Ch. 12.2 - Prob. 18E Ch. 12.2 - Prob. 19E Ch. 12.2 - Prob. 20E Ch. 12.2 - Prob. 21E Ch. 12.2 - Prob. 22E Ch. 12.2 - Prob. 23E Ch. 12.2 - Prob. 24E Ch. 12.2 - Prob. 25E Ch. 12.2 - Prob. 26E Ch. 12.2 - Prob. 27E Ch. 12.2 - Prob. 28E Ch. 12.3 - Parachuting A parachutist opens her parachute...Ch. 12.3 - Prob. 2CYU Ch. 12.3 - 3. Retirement Fund Upon retirement, a person...Ch. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 2E Ch. 12.3 - Prob. 3E Ch. 12.3 - Prob. 4E Ch. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 6E Ch. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 8E Ch. 12.3 - In Exercises 914, sketch a graph having the given...Ch. 12.3 - Prob. 10E Ch. 12.3 - In Exercises 914, sketch a graph having the given...Ch. 12.3 - Prob. 12E Ch. 12.3 - Prob. 13E Ch. 12.3 - Prob. 14E Ch. 12.3 - Prob. 15E Ch. 12.3 - Prob. 16E Ch. 12.3 - Prob. 17E Ch. 12.3 - Prob. 18E Ch. 12.3 - Prob. 19E Ch. 12.3 - Prob. 20E Ch. 12.3 - Prob. 21E Ch. 12.3 - Prob. 22E Ch. 12.3 - Prob. 23E Ch. 12.3 - Prob. 24E Ch. 12.3 - Prob. 25E Ch. 12.3 - Prob. 26E Ch. 12.3 - Prob. 27E Ch. 12.3 - Prob. 28E Ch. 12.3 - Prob. 29E Ch. 12.3 - Prob. 30E Ch. 12.3 - Prob. 31E Ch. 12.3 - Prob. 32E Ch. 12.3 - In these exercises, find a difference equation...Ch. 12.3 - Prob. 34E Ch. 12.3 - Prob. 35E Ch. 12.3 - Prob. 36E Ch. 12.4 - Prob. 1CYU Ch. 12.4 - Prob. 2CYU Ch. 12.4 - Prob. 3CYU Ch. 12.4 - Prob. 1E Ch. 12.4 - Prob. 2E Ch. 12.4 - Prob. 3E Ch. 12.4 - Prob. 4E Ch. 12.4 - Prob. 5E Ch. 12.4 - 6. Find the monthly payment on a 25-year $38,000...Ch. 12.4 - Prob. 7E Ch. 12.4 - Prob. 8E Ch. 12.4 - Prob. 9E Ch. 12.4 - Prob. 10E Ch. 12.4 - Prob. 11E Ch. 12.4 - Prob. 12E Ch. 12.4 - Prob. 13E Ch. 12.4 - In these exercises, use a table or graph of an...Ch. 12.4 - In these exercises, use a table or graph of an...Ch. 12.4 - Prob. 16E Ch. 12.5 - Glucose Infusion Glucose is being given to a...Ch. 12.5 - Light at Ocean Depths Sunlight is absorbed by...Ch. 12.5 - 1. Population Dynamics In a certain country with...Ch. 12.5 - Population Dynamics A small city with current...Ch. 12.5 - 3. Drug Absorption After a certain drug is...Ch. 12.5 - Elevation and Atmospheric Pressure The atmospheric...Ch. 12.5 - Spread of Information A sociological study was...Ch. 12.5 - Solution Concentration A cell is put into a fluid...Ch. 12.5 - Learning Curve Psychologists have found that in...Ch. 12.5 - Genetics Consider two genes A and a in a...Ch. 12.5 - Account Balance Thirty thousand dollars is...Ch. 12.5 - 10. Account Balance Rework Exercise 9, where...Ch. 12.5 - Prob. 11E Ch. 12.5 - Prob. 12E Ch. 12.5 - Prob. 13E Ch. 12.5 - Prob. 14E Ch. 12.5 - Prob. 15E Ch. 12.5 - Prob. 16E Ch. 12.5 - Prob. 17E Ch. 12.5 - Prob. 18E Ch. 12.5 - In these exercises, answer the questions by...Ch. 12.5 - Prob. 20E Ch. 12 - Explain how a sequence of numbers is generated by...Ch. 12 - Prob. 2FCCE Ch. 12 - Prob. 3FCCE Ch. 12 - Prob. 4FCCE Ch. 12 - Prob. 5FCCE Ch. 12 - Prob. 6FCCE Ch. 12 - Prob. 7FCCE Ch. 12 - Prob. 8FCCE Ch. 12 - Prob. 9FCCE Ch. 12 - Prob. 10FCCE Ch. 12 - Prob. 1RE Ch. 12 - Prob. 2RE Ch. 12 - 3. Account Balance How much money would you have...Ch. 12 - Prob. 4RE Ch. 12 - Prob. 5RE Ch. 12 - Prob. 6RE Ch. 12 - Population Dynamics The population of a certain...Ch. 12 - 8. Mortgage The monthly payment on a 30-year...Ch. 12 - Prob. 9RE Ch. 12 - Prob. 10RE Ch. 12 - Prob. 11RE Ch. 12 - Prob. 12RE Ch. 12 - Prob. 13RE Ch. 12 - Prob. 14RE Ch. 12 - Prob. 1P Ch. 12 - Prob. 2P Ch. 12 - Prob. 3P Ch. 12 - Prob. 4P Ch. 12 - Prob. 5P Ch. 12 - Prob. 6P Ch. 12 - Prob. 7P Ch. 12 - Prob. 8P Ch. 12 - Prob. 9P

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The difference equation and confirm the answer by graphing the difference equation when the terms begin at 5 , oscillate and are unbounded.

Solution Summary: The author calculates the difference equation by graphing it when the terms begin at 5, oscillate and are unbounded.

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To calculate: The difference equation and confirm the answer by graphing the difference equation when the terms begin at 5, oscillate and are unbounded.

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Chapter 12 Solutions