![]() ![]() Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Worksheet by Kuta Software LLC-3-Answers to Sequences and Series Review 1) Common Difference: d -5 a 52 -235 Explicit: a n 20 + (n - 1) × -5 Recursive: a n a n - 1 - 5 a 1 20 2) Common Difference: d -9 a 52 -479 Explicit: a n -20 + (n - 1) × -9 Recursive: a n a n) - 1 - 9 a 1 -20 3) a 21 -211 Explicit: a n -22 - 9n. Want to cite, share, or modify this book? This book uses the Then use the formula for the nth term to find the first term and the nth term. Find the common ratio by using the two terms and the formula for the nth term. You can choose any term of the sequence, and add 3 to find the subsequent term. Holt McDougal Algebra 2 Reteach Geometric Sequences and Series (continued) If you know any two terms in a geometric sequence, you can find any other term in the sequence. In this case, the constant difference is 3. This worksheet follows my ESL teaching philosophy of explicit teaching - identification - production. 0 math series:Topic 1: Fluently Add and Subtract Within 2 Subjects: Basic Operations. The sequence below is another example of an arithmetic sequence. This handout/worksheet is a great introduction to transition words in the context of animals. This printable worksheet is a useful resource to review geometry. For this sequence, the common difference is –3,400. Each term increases or decreases by the same constant value called the common difference of the sequence. The values of the truck in the example are said to form an arithmetic sequence because they change by a constant amount each year. In this section, we will consider specific kinds of sequences that will allow us to calculate depreciation, such as the truck’s value. The truck will be worth $21,600 after the first year $18,200 after two years $14,800 after three years $11,400 after four years and $8,000 at the end of five years. The loss in value of the truck will therefore be $17,000, which is $3,400 per year for five years. After five years, she estimates that she will be able to sell the truck for $8,000. One method of calculating depreciation is straight-line depreciation, in which the value of the asset decreases by the same amount each year.Īs an example, consider a woman who starts a small contracting business. This decrease in value is called depreciation. The book-value of these supplies decreases each year for tax purposes. Use an explicit formula for an arithmetic sequence.Ĭompanies often make large purchases, such as computers and vehicles, for business use.Use a recursive formula for an arithmetic sequence.Find the common difference for an arithmetic sequence.Alignment with curriculum standards for sequences and series.Access to a supportive community of educators and resources for professional development.Assessment tools to gauge student understanding and track progress.Differentiated instruction options to cater to diverse student needs and learning styles.A variety of instructional materials and resources to support teaching general sequences.A platform that promotes independent learning and exploration.įor educators, our platform offers the following advantages:.Opportunities for self-assessment and checking solutions.Practice problems and exercises for hands-on application of concepts.Step-by-step instructions and examples to guide their understanding of sequences.A wide range of resources and worksheets to support their learning and practice.Solving problems involving sequences, such as finding sums, averages, or positions.īy utilizing our platform, students benefit from:.Analyzing arithmetic sequences and geometric sequences.Finding terms of a sequence, including the nth term.Generating sequences using explicit and recursive formulas.Identifying patterns and properties of sequences.Students can develop the following skills and knowledge through our resources: By becoming a member of our platform, users gain access to a variety of materials designed to enhance their understanding and proficiency in working with sequences. ![]() ![]() Our website offers a comprehensive collection of resources and worksheets dedicated to general sequences. Sequences and Series General Sequences Worksheets ![]()
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