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Sequences, Series, Finance CHAPTER 1

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Sequences, Series, Finance

CHAPTER 1

Chapter 1: Sequences, Series, Finance

• Content:

– Introduction

– Sequences

• Basic definitions

• Limit of a sequence

– Series

• Partial sums

• Series and convergence of series

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Chapter 1: Sequences, Series, Finance

• Content-continued

– Finance

• Simple interest and compound interest

• Periodic payments

• Loan repayments, redemption tables

• Investment projects

• Depreciation

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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

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SERIES CH01-PART2

5

Series

• Partial Sums

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Series-Partial Sums

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Series-Partial Sums

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Series-Partial Sums

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Series-Partial Sums

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Series-Partial Sums

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Series-Partial Sums

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Example 2.14 (cont.)

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Example 2.14 (cont.)

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Example 2.14 (cont.)

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Series & Convergence of Series

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Series & Convergence of Series

Converges. We apply Theorem 2.1 to the partial sums {sn}.

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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Series & Convergence of Series

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