A Precalculus Outline

 Chapter 9:  Sequences and the Binomial Theorem 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 Objective: Function 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 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 Objective: Function notation Objective: Example proofs by induction 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 Objective: How to perform operations with factorials Objective: Principle of Mathematical Induction