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High School Precalculus: Tutoring Solution32 chapters | 265 lessons

For the following geometric finite sequence, find the common ratio:

4, 2, 1, 1/2, 1/4, 1/8

Find *a*(6) in the following finite sequence:

2/7, 4/7, 6/7, 8/7, 10/7, *a*(6)

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You will practice working with finite sequences through questions that ask you to calculate a number in the sequence or determine the pattern in a sequence.

You will test your knowledge of the following through practice problems:

- The common difference in a sequence
- The common ratio in a sequence
- How to find a number in the sequence
- A general rule for a finite sequence

**Reading comprehension**- ensure that you draw the most important information from the related finite sequences lesson**Interpreting information**- verify you can read information regarding how to find the common differences in a sequence and interpret it correctly**Problem solving**- use acquired knowledge to solve multiple finite sequences problems

Use the lesson entitled Finite Sequence: Definition & Examples to get more detailed information. Objectives this lesson will cover include:

- Define what a sequence is in mathematics
- Understand what makes a finite sequence
- Appreciate the non-arbitrary nature of finite sequences
- Describe how finite sequences can be written
- Identify the purpose of an ellipsis in a sequence

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Lesson
25 in chapter 27 of the course:

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High School Precalculus: Tutoring Solution32 chapters | 265 lessons

- What is a Mathematical Sequence? 5:37
- Introduction to Sequences: Finite and Infinite 4:57
- How to Use Factorial Notation: Process and Examples 4:40
- Summation Notation and Mathematical Series 6:01
- How to Use Series and Summation Notation: Process and Examples 4:16
- Understanding Arithmetic Series in Algebra 6:17
- How to Calculate an Arithmetic Series 5:45
- Arithmetic Sequences: Definition & Finding the Common Difference 5:55
- How and Why to Use the General Term of an Arithmetic Sequence 5:01
- The Sum of the First n Terms of an Arithmetic Sequence 6:00
- How to Find and Classify an Arithmetic Sequence 9:09
- Working with Geometric Sequences 5:26
- Finding and Classifying Geometric Sequences 9:17
- How and Why to Use the General Term of a Geometric Sequence 5:14
- The Sum of the First n Terms of a Geometric Sequence 4:57
- Understand the Formula for Infinite Geometric Series 4:41
- How to Calculate a Geometric Series 9:15
- Using Recursive Rules for Arithmetic, Algebraic & Geometric Sequences 5:52
- Arithmetic and Geometric Series: Practice Problems 10:59
- Using Sigma Notation for the Sum of a Series 4:44
- Mathematical Induction: Uses & Proofs 7:48
- How to Find the Value of an Annuity 4:49
- How to Use the Binomial Theorem to Expand a Binomial 8:43
- Special Sequences and How They Are Generated 5:21
- Finite Sequence: Definition & Examples 6:07
- Go to Mathematical Sequences and Series: Tutoring Solution

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