Geometric series convergence calculator: free download. On-line document store on 5y1.org

[DOCX File]www.avon-schools.org
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Series (BC only). Students should be able to: Recognize various types of numerical series and efficiently apply the appropriate test. Determine the sum of an infinite geometric series and be able to use that sum to create a power series and determine its interval of convergence.
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Chapter 1: Limits and Their Properties
• Convergence of a series defined in terms of the limit of the sequence of partial sums of a series • Introduction to convergence and divergence of a series by using technology on two examples to gain an intuitive understanding of the meaning of convergence • Geometric series and applications • Telescoping series
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[DOCX File]Brandywine Heights Area School District
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TI-89 Calculator Unit 2 - The Derivative I ~ ... Test for convergence of a geometric series. Calculate the number to which a geometric series converges. Derive power series for exponential functions. Given Taylor series for e^x, sin(x), cos(x), 1/(1-x) derive power series for related functions.
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[DOCX File]VOCABULARY: sequence, series, recursive sequence, partial ...
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LESSON TOPIC:Power Series and the Radius of Convergence. BIG IDEAS: (Content standards, assessment anchors, eligible content) objectives, and skill focus) Numbers, measures, expressions, equations, and inequalities can represent mathematical situations and structures in many equivalent forms.
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[DOC File]First exam practice sheet
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Calculator (no TI-89 or 92) 3”(5” index card of notes Trigonometry formulas handout. ... State and prove divergence or convergence for each of the following series. Find the radius and interval of convergence of the following power series. ... (geometric) converges (telescoping), converges (geometric), diverges, ratio test.
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[DOCX File]www.jessamine.k12.ky.us
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The calculator will be an integral part of discovering and verifying the information generated by calculus procedures and tests. Each student will have a TI-83or84 graphing calculator to use at school and at home. ... convergence, properties, Squeeze Theorem ... Defining an infinite series as a sequence of partial sums. Properties of geometric ...
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[DOC File]Department of Mathematics : The University of Akron
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The sum of an infinite geometric series is 125 and its 7th and 8th terms are and , respectively. Find the first three terms of the series. The first term of an infinite geometric series is – 8, and its sum is . Find the first four terms of the series. An infinite geometric series can be used to model a repeating decimal. For example, 1.
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[DOC File]Sequences and Series**
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We can rewrite this series as which is a geometric series with a common ratio of. We recall the sum of any geometric series can be found by using the formula . In this example . The sum is . Example 5. Check the series for convergence. The first term is and the common ratio is . By the formula, . This is a finite number so the series converges.
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[DOCX File]Unit 1A: Review of Integration, Differentiation and the ...
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Convergence of Power Series – Radius of Convergence and Convergence of Endpoints. Experiment: Geometric Series Calculator Lab Students use their calculators in line entry mode to create a program that will compute the partial sums of a geometric or other series in order to investigate its convergence.
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Geometric series convergence calculator