Hence a player's probability of winning is proportional to the amount of with which he or she starts the game. money EXERCISES 9.3 I 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. to mow 2. Sn = 5sn-1 - 4, so 1 4. Sn = 1.5sn-1 - 1, so = 4 I. Sn = Sn-1+ 3, so = 2 3. Sn 4Sn-1, S0 5 11 6. Sn= Sn-1 - 10, so = 32 8. Sn=-2sn-1, So = -5 10. Sn=-Sn-1 + 7, so = 1 10s-1-45, So = 2 14. Sn=-2s-1 - Sn-2, So = 3, S1= 1 5. Sn=-Sn-1 +6, so=-4 7. Sn 3sn-1- 8, so = 3 9. Sn= Sn-1- 5, So = 100 11. Sn 12. Sn -2sn-1-9, So = 7 13. Sn Sn-1 + 2sn-2, So 9, S1 0 15. Sn 8sn-1- 16s1-2, S0 = 6, S1 20 1, s1 9 19. Sn=-4s-1 - 4sp-2, So=-4, S1 = 2 10sn-1 25s-2, So= -7 , s1 =-15 23. Sn=-5Sn-1 - 4sp-2, S0 = 3, s1 15 4sn-2, So=-1, S1 = -14 S-1 9sn-2, So = 1, S1 = 9 20. Sn =-8sn-1 - 15s-2, S0 = 2, s1= 2 10sn-1-24sn-2, So= 1, S1= 24. Sn= 4sn-1- 4s1-2, So =-3, $1= 4 16. Sn 17. Sn= 9sn-2, SO= 18. Sn we 21. Sn 22. Sn 1 ww.w 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 (a) Write a difference equation and initi Lorenzo's body

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Chapter2: Second-order Linear Odes
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Hence a player's probability of winning is proportional to the amount of
with which he or she starts the game.
money
EXERCISES 9.3 I
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.
to mow
2. Sn = 5sn-1 - 4, so 1
4. Sn = 1.5sn-1 - 1, so = 4
I. Sn = Sn-1+ 3, so = 2
3. Sn
4Sn-1, S0 5
11
6. Sn= Sn-1 - 10, so = 32
8. Sn=-2sn-1, So = -5
10. Sn=-Sn-1 + 7, so = 1
10s-1-45, So = 2
14. Sn=-2s-1 - Sn-2, So = 3, S1= 1
5. Sn=-Sn-1 +6, so=-4
7. Sn 3sn-1- 8, so = 3
9. Sn= Sn-1- 5, So = 100
11. Sn
12. Sn
-2sn-1-9, So = 7
13. Sn Sn-1 + 2sn-2, So 9, S1 0
15. Sn 8sn-1- 16s1-2, S0 = 6, S1 20
1, s1 9
19. Sn=-4s-1 - 4sp-2, So=-4, S1 = 2
10sn-1 25s-2, So= -7 , s1 =-15
23. Sn=-5Sn-1 - 4sp-2, S0 = 3, s1 15
4sn-2, So=-1, S1 = -14
S-1 9sn-2, So = 1, S1 = 9
20. Sn =-8sn-1 - 15s-2, S0 = 2, s1= 2
10sn-1-24sn-2, So= 1, S1=
24. Sn= 4sn-1- 4s1-2, So =-3, $1= 4
16. Sn
17. Sn= 9sn-2, SO=
18. Sn
we
21. Sn
22. Sn
1
ww.w
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
(a)
Write a difference equation and initi
Lorenzo's body
Transcribed Image Text:Hence a player's probability of winning is proportional to the amount of with which he or she starts the game. money EXERCISES 9.3 I 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. to mow 2. Sn = 5sn-1 - 4, so 1 4. Sn = 1.5sn-1 - 1, so = 4 I. Sn = Sn-1+ 3, so = 2 3. Sn 4Sn-1, S0 5 11 6. Sn= Sn-1 - 10, so = 32 8. Sn=-2sn-1, So = -5 10. Sn=-Sn-1 + 7, so = 1 10s-1-45, So = 2 14. Sn=-2s-1 - Sn-2, So = 3, S1= 1 5. Sn=-Sn-1 +6, so=-4 7. Sn 3sn-1- 8, so = 3 9. Sn= Sn-1- 5, So = 100 11. Sn 12. Sn -2sn-1-9, So = 7 13. Sn Sn-1 + 2sn-2, So 9, S1 0 15. Sn 8sn-1- 16s1-2, S0 = 6, S1 20 1, s1 9 19. Sn=-4s-1 - 4sp-2, So=-4, S1 = 2 10sn-1 25s-2, So= -7 , s1 =-15 23. Sn=-5Sn-1 - 4sp-2, S0 = 3, s1 15 4sn-2, So=-1, S1 = -14 S-1 9sn-2, So = 1, S1 = 9 20. Sn =-8sn-1 - 15s-2, S0 = 2, s1= 2 10sn-1-24sn-2, So= 1, S1= 24. Sn= 4sn-1- 4s1-2, So =-3, $1= 4 16. Sn 17. Sn= 9sn-2, SO= 18. Sn we 21. Sn 22. Sn 1 ww.w 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 (a) Write a difference equation and initi Lorenzo's body
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