xv CONTENTS 11.2 Arithmetic Sequences and Series 1051 Arithmetic Sequences ■ Arithmetic Series 11.3 Geometric Sequences and Series 1061 Geometric Sequences ■ Geometric Series ■ Infinite Geometric Series ■ Annuities Summary Exercises on Sequences and Series 1072 11.4 The BinomialTheorem 1073 A Binomial Expansion Pattern ■ Pascal’s Triangle ■ n-Factorial ■ Binomial Coefficients ■ The Binomial Theorem ■ kth Term of a Binomial Expansion 11.5 Mathematical Induction 1080 Principle of Mathematical Induction ■ Proofs of Statements ■ Generalized Principle of Mathematical Induction ■ Proof of the Binomial Theorem Chapter 11 Quiz (Sections 11.1–11.5) 1087 11.6 Basics of CountingTheory 1088 Fundamental Principle of Counting ■ Permutations ■ Combinations ■ Characteristics That Distinguish Permutations from Combinations 11.7 Basics of Probability 1099 Basic Concepts ■ Complements and Venn Diagrams ■ Odds ■ Compound Events ■ Binomial Probability Test Prep 1111 ■ Review Exercises 1115 ■ Test 1119 Appendices 1121 Appendix A Polar Form of Conic Sections 1121 Equations and Graphs ■ Conversion from Polar to Rectangular Form Appendix B Rotation of Axes 1125 Derivation of Rotation Equations ■ Application of a Rotation Equation Appendix C Geometry Formulas 1129 Answers to Selected Exercises A-1 Photo Credits C-1 Index I-1
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