Chapter 2, page 12
 
3. 103.
 
7. F_n+4 = 3F_n+1 + 2F_n.

9. 321.

13. 702.

19. (a) F₁₆ - 1. (b) F₁₉ - 1.

21. (a) 2. (b) 3. (c) 5. (d) 8. (e) 13. (f) 21.

23. r = 4, s = 5, and t = 11.

25. r = 15, s = 17, and t = 19.

29. 204

33. L_2m+2 - 2.

35. r = 4, s = 6, and t = 8.

37. (a) 1. (b) -1. (c) 1. (d) -1.
 

Chapter 3, page 17

1. (a) 5040. (b) 36. (c) 362,880. (d) 720.

5. (a) 5!. (b) 7!. (c) (n + 1)!.

7. a = 14 and b = 10 or a = 24024 and b = 24023.

9. n⁴ + 10n³ + 35n² + 50n + 24.

11. (a) 23. (b) 119. (c) 719.

15. a = 6, b = 11, and c = 5.

17. (2m + 2)! - 1.

19. (a) (n + 2)! + (n + 1)! - 2.
 

Tuesday, February 17, 1998