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,...


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a +b<br>Hence a player's probability of winning is proportional to the amount of money<br>a +b<br>with which he or she starts the game.<br>EXERCISES 9.3<br>In Exercises 1-24, find an explicit formula for sn if so, S1, S2, . . . is a sequence satisfying the given recurrence<br>relation and initial conditions.<br>1. Sn= Sn-1 + 3, so = 2<br>3. Sn= 4sn-1, So 5<br>2. Sn 5sn-1 - 4, so 1<br>4. Sn= 1.5s-1 - 1, So = 4<br>6. Sn Sn-1- 10, So = 32<br>8. Sn=-2sn-1, So = -5<br>5. Sn=-Sn-1 +6, So = -4<br>7. Sn 3sn-1 - 8, so = 3<br>10. Sn=-Sn-1 +7, so = 1<br>10s-1-45, So<br>= 2<br>9. Sn= Sn-1-5, So = 100<br>11.) Sn=-2sn-1<br>9, So = 7<br>12. Sn<br>11<br>13. Sn= Sn-1 + 2sn-2, So = 9, s1 = 0<br>14. Sn<br>-2sn-1- Sn-2, S0= 3, s1 = 1<br>16. Sn= 4sn-2, So = -1, S1 -14<br>18. Sn= 6s1-1 - 9sn-2, So = 1, S1 = 9<br>15. Sn=<br>8sn-1 16s-2, So = 6, s1 20<br>17. Sn=<br>9Sn-2, SO<br>= 1, S1 = 9<br>20. Sn-8sn-1<br>- 15sn-2, S0 = 2, S1= 2<br>19. Sn=-4sn-1 -4sn-2, So -4, S1 2<br>= -7, s1= -15<br>21. Sn= 10sn-1- 25s-2, So<br>22. Sn=<br>10s,-1 24s-2, S0 = 1, S1 = 0<br>15<br>24. Sn=<br>4Sn-1-4sn-2, So = -3, s1 = 4<br>www<br>23. Sn =-5sn-1 - 4sn-2, S0 = 3, S1<br>25. In order to combat hypertension, Mr. Lorenzo is to take a capsule containing 25 mg of a drug each morning<br>after awaking. During the next 24 hours, 20 percent of the amount of the drug in the body is eliminated.<br>Write a difference equation and initial conditions giving the amount of the drug in Mr. Lorenzo's body<br>nmediately after he takes the nth capsule.<br>(a)<br>

Extracted text: 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)

Jun 04, 2022
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