Unit 11: Sequences & Series
In this unit, we explore sequences and series, which are ordered lists of numbers and the sums of their terms. You will learn to identify arithmetic and geometric sequences, calculate series, and apply the Binomial Theorem.
Unit Goals
- Recognize and generate arithmetic and geometric sequences.
- Use formulas for nth terms and sums of finite sequences.
- Understand and evaluate infinite geometric series when they converge.
- Apply the Binomial Theorem to expand binomial expressions and use binomial coefficients.
- Translate between sigma notation and expanded sums.
Lessons in this Unit
- Arithmetic Sequences and Series
- Geometric Sequences and Series
- Infinite Geometric Series
- Binomial Theorem
Unit Goals
- Understand the definition of a sequence and the difference between arithmetic and geometric sequences.
- Learn formulas for the nth term and sum of arithmetic and geometric series.
- Explore infinite geometric series and their convergence.
- Apply the Binomial Theorem to expand binomial expressions efficiently.