a +b Hence a player's probability of winning is proportional to the amount of money a +b with which he or she starts the game. EXERCISES 9.3 In Exercises 1-24, find an explicit formula for sn if so, S1, S2, . . . is a sequence satisfying the given recurrence relation and initial conditions. 1. Sn= Sn-1 + 3, so = 2 3. Sn= 4sn-1, So 5 2. Sn 5sn-1 - 4, so 1 4. Sn= 1.5s-1 - 1, So = 4 6. Sn Sn-1- 10, So = 32 8. Sn=-2sn-1, So = -5 5. Sn=-Sn-1 +6, So = -4 7. Sn 3sn-1 - 8, so = 3 10. Sn=-Sn-1 +7, so = 1 10s-1-45, So = 2 9. Sn= Sn-1-5, So = 100 11.) Sn=-2sn-1 9, So = 7 12. Sn 11 13. Sn= Sn-1 + 2sn-2, So = 9, s1 = 0 14. Sn -2sn-1- Sn-2, S0= 3, s1 = 1 16. Sn= 4sn-2, So = -1, S1 -14 18. Sn= 6s1-1 - 9sn-2, So = 1, S1 = 9 15. Sn= 8sn-1 16s-2, So = 6, s1 20 17. Sn= 9Sn-2, SO = 1, S1 = 9 20. Sn-8sn-1 - 15sn-2, S0 = 2, S1= 2 19. Sn=-4sn-1 -4sn-2, So -4, S1 2 = -7, s1= -15 21. Sn= 10sn-1- 25s-2, So 22. Sn= 10s,-1 24s-2, S0 = 1, S1 = 0 15 24. Sn= 4Sn-1-4sn-2, So = -3, s1 = 4 www 23. Sn =-5sn-1 - 4sn-2, S0 = 3, S1 25. In order to combat hypertension, Mr. Lorenzo is to take a capsule containing 25 mg of a drug each morning after awaking. During the next 24 hours, 20 percent of the amount of the drug in the body is eliminated. Write a difference equation and initial conditions giving the amount of the drug in Mr. Lorenzo's body nmediately after he takes the nth capsule. (a)
a +b Hence a player's probability of winning is proportional to the amount of money a +b with which he or she starts the game. EXERCISES 9.3 In Exercises 1-24, find an explicit formula for sn if so, S1, S2, . . . is a sequence satisfying the given recurrence relation and initial conditions. 1. Sn= Sn-1 + 3, so = 2 3. Sn= 4sn-1, So 5 2. Sn 5sn-1 - 4, so 1 4. Sn= 1.5s-1 - 1, So = 4 6. Sn Sn-1- 10, So = 32 8. Sn=-2sn-1, So = -5 5. Sn=-Sn-1 +6, So = -4 7. Sn 3sn-1 - 8, so = 3 10. Sn=-Sn-1 +7, so = 1 10s-1-45, So = 2 9. Sn= Sn-1-5, So = 100 11.) Sn=-2sn-1 9, So = 7 12. Sn 11 13. Sn= Sn-1 + 2sn-2, So = 9, s1 = 0 14. Sn -2sn-1- Sn-2, S0= 3, s1 = 1 16. Sn= 4sn-2, So = -1, S1 -14 18. Sn= 6s1-1 - 9sn-2, So = 1, S1 = 9 15. Sn= 8sn-1 16s-2, So = 6, s1 20 17. Sn= 9Sn-2, SO = 1, S1 = 9 20. Sn-8sn-1 - 15sn-2, S0 = 2, S1= 2 19. Sn=-4sn-1 -4sn-2, So -4, S1 2 = -7, s1= -15 21. Sn= 10sn-1- 25s-2, So 22. Sn= 10s,-1 24s-2, S0 = 1, S1 = 0 15 24. Sn= 4Sn-1-4sn-2, So = -3, s1 = 4 www 23. Sn =-5sn-1 - 4sn-2, S0 = 3, S1 25. In order to combat hypertension, Mr. Lorenzo is to take a capsule containing 25 mg of a drug each morning after awaking. During the next 24 hours, 20 percent of the amount of the drug in the body is eliminated. Write a difference equation and initial conditions giving the amount of the drug in Mr. Lorenzo's body nmediately after he takes the nth capsule. (a)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 74E
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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