![]() ![]() “Private tutoring and its impact on students' academic achievement, formal schooling, and educational inequality in Korea.” Unpublished doctoral thesis. Tutors, instructors, experts, educators, and other professionals on the platform are independent contractors, who use their own styles, methods, and materials and create their own lesson plans based upon their experience, professional judgment, and the learners with whom they engage. Varsity Tutors connects learners with a variety of experts and professionals. Varsity Tutors does not have affiliation with universities mentioned on its website. Media outlet trademarks are owned by the respective media outlets and are not affiliated with Varsity Tutors.Īward-Winning claim based on CBS Local and Houston Press awards. Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC.Ĥ.9/5.0 Satisfaction Rating based upon cumulative historical session ratings through 12/31/20. 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, Want to cite, share, or modify this book? This book uses the a1 19, an an-1 + 6 Which represents the explicit equation of this arithmetic sequence an 6n + 13 B an 6n + 19 3D C an 13n + 6 D an 19n +6. You can choose any term of the sequence, and add 3 to find the subsequent term. The recursive formula of an arithmetic sequence is described below. Each term is the sum of the previous term and. In this case, the constant difference is 3. A recursive formula allows us to find any term of an arithmetic sequence using a function of the preceding term. The sequence below is another example of an arithmetic sequence. 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. Students will write the recursive formula for a given sequence. These are moderately complex problems and a sound understanding of recurrence equations is required in order for students to be successful with these worksheets. In this section, we will consider specific kinds of sequences that will allow us to calculate depreciation, such as the truck’s value. In these worksheets, your students will work with recursive sequence. 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.
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