# Ch 6: Number Patterns

Use these video lessons and quizzes to help you understand infinite and finite sequences. Learn how to solve for any number in an arithmetic or geometric sequence and find the total of an arithmetic or geometric series.

## Number Patterns - Chapter Summary

Let instructors in this number patterns chapter introduce you to some of the practical applications of tables, graphs, sequences and series. Begin your studies by comparing explicit expressions with recursive processes and examine the uses of deductive and inductive reasoning in geometry.

You can also explore the differences between infinite and finite sequences, as well as sequences resulting from the repeated addition or multiplication of terms. Instructors walk you through the formulas used to find any term in these arithmetic and geometric sequences. They also cover the steps required to solve for the total number in an arithmetic or geometric series.

If you'd like to delve further into recursive sequences, there are lessons discussing why the Fibonacci sequence is often used to describe the golden ratio appearing in nature. You can also learn how to use the concepts covered in this chapter to solve finance problems involving compound and continuing interest and annuities. This chapter addresses the following main topics:

• Mathematical induction
• Explicit expressions
• Recursive processes
• Arithmetic and geometric series
• Interest problems

Our video lessons are taught by experienced instructors who provide numerous examples, illustrations and sample problems to help you understand number patterns and their practical applications. To help reinforce your comprehension of the materials, there are lesson transcripts for quick reference and quizzes you can use to assess your grasp of the material.

12 Lessons in Chapter 6: Number Patterns
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.