A Precalculus Outline

Chapter 9: Sequences and the Binomial Theorem

Section 9.1: Sequences

Objective: Introduction to Sequences

Objective: Finding a formula for a sequence

Objective: What is an arithmetic sequence?

Objective: What is a geometric sequence?

Objective: Finding the nth term in an arithmetic sequence

Objective: Finding the nth term of a geometric sequence

Objective: Application of Arithmetic Sequence

Objective: How to perform operations with factorials

* Review for Section 9.1

Objective: Function notation

Section 9.2: Summation Notation

Objective: Writing out sums expressed in summation (sigma) notation and writing sums in summation (sigma) notation

Objective: Finding the partial sum of an arithmetic series

Objective: Finding the partial sum of a geometric series

Objective: Developing the formula for a mortgage payment using geometric series

Objective: Using a Geometric Series to write a repeating decimal as a fraction

Objective: Finding the sum of an (infinite) geometric series

* Review for Section 9.2

Section 9.3: Mathematical Induction

Objective: Example proofs by induction

* Review for Section 9.3

Section 9.4: The Binomial Theorem

Objective: Using the Binomial Theorem to expand a binomial

Objective: How to construct Pascal's Triangle

Objective: Using Pascal's Triangle to expand a binomial

Objective: The Binomial Theorem

* Review for Section 9.4

Objective: Principle of Mathematical Induction