Ch01 part 1 sequences
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The document is a chapter about sequences, series, and their applications in finance. It introduces sequences and series, including basic definitions. It then covers specific types of sequences like arithmetic and geometric sequences. The chapter also defines the limit of a sequence and provides examples. Finally, it discusses how sequences and series are used for topics in finance like simple and compound interest, loan repayments, and investment projects.
Ch01 part 1 sequences
- 2. Chapter 1: Sequences, Series, Finance Content: Introduction Sequences Basic definitions Limit of a sequence Series Partial sums Series and convergence of series BCOR 110, A-2011 2
- 3. Chapter 1: Sequences, Series, Finance Content-continued Finance Simple interest and compound interest Periodic payments Loan repayments, redemption tables Investment projects Depreciation BCOR 110, A-2011 3
- 4. 1. Introduction Sequences and Series play important roles in business applications Several finance problems are approached through sequences and series This chapter will treat some of these topics BCOR 110, A-2011 4
- 6. 2. Sequences and Series-Basic Definitions BCOR 110, A-2011 6
- 7. Reminder refers to the set of all natural numbers. There is no agreement about whether to include zero in the set of natural numbers: some define the natural numbers to be the positive integers {1, 2, 3, ...}, Notations: while for others the term designates the non- negative integers {0, 1, 2, 3, ...}. Notations: 7
- 8. 2. Sequences and Series-Basic Definitions BCOR 110, A-2011 8
- 9. 2. Sequences and Series-Illustrative examples BCOR 110, A-2011 9
- 10. 2. Sequences and Series-Illustrative examples BCOR 110, A-2011 10
- 11. 2. Sequences and Series-Illustrative examples BCOR 110, A-2011 11
- 12. Arithmetic and Geometric Sequences BCOR 110, A-2011 12
- 13. Arithmetic and Geometric Sequences BCOR 110, A-2011 13
- 14. Arithmetic and Geometric Sequences BCOR 110, A-2011 14
- 15. Arithmetic and Geometric Sequences BCOR 110, A-2011 15
- 16. Arithmetic and Geometric Sequences BCOR 110, A-2011 16
- 17. Arithmetic and Geometric Sequences BCOR 110, A-2011 17
- 18. Arithmetic and Geometric Sequences BCOR 110, A-2011 18
- 19. Arithmetic and Geometric Sequences Under these assumptions, what would be the year where the firms production first exceeds 55,000 DVD players? BCOR 110, A-2011 19
- 20. Arithmetic and Geometric Sequences BCOR 110, A-2011 20
- 21. Arithmetic and Geometric Sequences BCOR 110, A-2011 21
- 22. Increasing/Decreasing Sequences BCOR 110, A-2011 22
- 23. Monotone Sequences BCOR 110, A-2011 23
- 24. Monotone Sequences BCOR 110, A-2011 24
- 25. Monotone Sequences BCOR 110, A-2011 25
- 26. Monotone Sequences BCOR 110, A-2011 26
- 27. Monotone Sequences BCOR 110, A-2011 27
- 28. Monotone Sequences BCOR 110, A-2011 28
- 29. Monotone Sequences BCOR 110, A-2011 29
- 30. Bounded Sequences BCOR 110, A-2011 30
- 31. Monotone Sequences BCOR 110, A-2011 31
- 32. Monotone Sequences BCOR 110, A-2011 32
- 33. Monotone Sequences BCOR 110, A-2011 33
- 34. Monotone Sequences BCOR 110, A-2011 34
- 35. Monotone Sequences BCOR 110, A-2011 35
- 36. Limit of a sequence BCOR 110, A-2011 36
- 37. Limit of a Sequence BCOR 110, A-2011 37
- 38. Limit of a Sequence BCOR 110, A-2011 38
- 39. Limit of a Sequence The terms of the sequence {an} tend to number 1. BCOR 110, A-2011 39
- 40. Limit of a Sequence BCOR 110, A-2011 40
- 41. Limit of a Sequence BCOR 110, A-2011 41
- 42. Limit of a Sequence BCOR 110, A-2011 42
- 43. Limit of a Sequence BCOR 110, A-2011 43
- 44. Limit of a Sequence BCOR 110, A-2011 44
- 45. Limit of a Sequence BCOR 110, A-2011 45
- 46. Limit of a Sequence BCOR 110, A-2011 46
- 47. Limit of a Sequence The definition of a limit is not appropriate for determining its value. It can be used to confirm that some guessed value a is in fact the limit of a certain sequence. BCOR 110, A-2011 47
- 48. Limit of a Sequence BCOR 110, A-2011 48
- 49. Limit of a Sequence BCOR 110, A-2011 49
- 50. Limit of a Sequence BCOR 110, A-2011 50
- 51. Limit of a Sequence BCOR 110, A-2011 51
- 52. Limit of a Sequence BCOR 110, A-2011 52
- 53. Limit of a Sequence BCOR 110, A-2011 53
- 54. Limit of a Sequence BCOR 110, A-2011 54
- 55. Limit of a Sequence BCOR 110, A-2011 55
- 56. Limit of a Sequence BCOR 110, A-2011 56
- 57. Limit of a Sequence BCOR 110, A-2011 57
- 58. Limit of a Sequence BCOR 110, A-2011 58
- 59. Limit of a Sequence BCOR 110, A-2011 59
- 60. Limit of a Sequence BCOR 110, A-2011 60
- 61. Limit of a Sequence BCOR 110, A-2011 61
- 62. Limit of a Sequence-Example 2.10- continued BCOR 110, A-2011 62
- 63. Limit of a Sequence-Example 2.10- continued BCOR 110, A-2011 63
- 64. Limit of a Sequence-Example 2.10- continued BCOR 110, A-2011 64
- 65. Limit of a Sequence-Example 2.10- continued BCOR 110, A-2011 65
- 66. Limit of a Sequence-Example 2.11 BCOR 110, A-2011 66
- 67. Some Frequently Used Limits BCOR 110, A-2011 67