Chapter 11: Sequences, Probability and Counting Theory
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Course: MATH 142 (Precalculus II)
Overview
Sequences and series provide the foundation for understanding infinite processes in calculus. The binomial theorem connects to Taylor series expansions.
Source Material: OpenStax Precalculus Chapter 11 (CC BY 4.0)
Sections
| Section | Topic | Skills |
|---|---|---|
| 11.1 | Sequences and Their Notations | Explicit vs recursive formulas |
| 11.2 | Arithmetic Sequences | Common difference, formulas |
| 11.3 | Geometric Sequences | Common ratio, formulas |
| 11.4 | Series and Their Notations | Summation notation, partial sums |
| 11.5 | Counting Principles | Permutations, combinations |
| 11.6 | Binomial Theorem | $(a+b)^n$ expansion |
| 11.7 | Probability | Basic probability concepts |
Skills in This Chapter
What This Unlocks
Mastering sequences and series prepares you for:
- Chapter 12: Introduction to calculus (limits)
- Stewart 11.1: Sequences and convergence
- Stewart 11.2-11.7: Series and convergence tests
- Stewart 11.10: Taylor and Maclaurin series (binomial connection)
| Previous | Up | Next |
|---|---|---|
| Chapter 10 | Precalculus | Chapter 12 |