![]() Students solve a mixture of Geometric sequence problems. Note: This is an activity which can be done in pairs or as a whole class activity. Students solve a mixture of arithmetic sequence problems. Students solve a mixture of compound interest problems. Note: This is a one hour test on the sequences topic – designed for SL students. Note: This can be used as a student worksheet, or as a teacher starter activity to get students investigating number puzzles. These include more problem solving examples. Note: This is a short worksheet which can be used in lesson or for homework and gives some HL past paper style questions covering SL1.2-SL1.4 and also SL1.8. Note: This is a short worksheet which can be used in lesson or for homework and gives some past paper SL style questions covering SL1.2-SL1.4 and also SL1.8. It covers syllabus point: SL 1.3 and SL 1.8 with a mixture of geometric sequences and series including sums to infinity. Note: This is a short worksheet which can be used in lesson or for homework. ![]() It covers syllabus point: SL 1.3 with a mixture of geometric sequences and series. It covers syllabus point: SL 1.4 with a mixture of compounding problems. It covers syllabus point: SL 1.2 with a mixture of sequences and series. It covers syllabus point: SL 1.2 with a focus on arithmetic sequences. This introduces the idea of how an exploration could begin. Note: This is an activity which lends itself to a classroom investigation or for homework. You can download both the questions and mark scheme from the bottom of the page. You can scroll down below to see pictures of the questions. ![]() I have made 13 worksheets and activities to assist with sequences lessons. Sequence and series are a good starting point to begin the syllabus as they are quite accessible – and the shared content across the different courses allows students t change courses early on. In this unit we will look at the power of sequences to describe patterns. ![]() 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, b) Write an explicit formula for the sequence c) Find a 37 11) 10, 1, -8, -17. Want to cite, share, or modify this book? This book uses the 9) Go back and circle the problem numbers in the above sequences (1-8) which represent Arithmetic sequences. You can choose any term of the sequence, and add 3 to find the subsequent term. In this case, the constant difference is 3. ![]() 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. 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. ![]()
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