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\n\"Determine\n\n
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\nCurated OER\n
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\nDetermine if the Given Six Series Converge Using the Alternate Series Test\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nIn this alternate series test learning exercise, students use the alternating series test to determine if the given six infinite series converge.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Alternating\n\n
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\nCurated OER\n
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\nAlternating Series and Convergence Tests\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students examine the concept of convergence and test the alternating series. They also read and apply the theorem of alternating series.\n
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\n\nGet Free Access\n\nSee Review\n
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Printables
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\n\"ln\n\n
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\nChapman University\n
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\nln 2 Series Poster\n

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\n\nFor Teachers\n\n10th - Higher Ed\n
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\nA nice poster or handout showing the natural logarithm of 2, ln 2, as an alternating series or convergent series. The fractions start out large and gradually get smaller and smaller in both value and size. Shows some of the unique...\n
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\n\"Alternating\n\n
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\nCurated OER\n
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\nAlternating Series Test\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, learners practice using the series test for convergence. Then they look at the proofs to see if the series satisfy the conditions.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 12\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students state the Alternating Series Test and give an example of it. They also write down an alternating series which does not converge.\n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"Exploring\n\n
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\nCurated OER\n
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\nExploring Infinite Series\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Summary\n\n
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\nCurated OER\n
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\nSummary Worksheet: Sequences\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this sequence learning exercise, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use...\n
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\n\nGet Free Access\n\nSee Review\n
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\nCurated OER\n
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\nWorksheet 38 - Convergence or Divergence\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this convergence worksheet, students apply tests to determine the convergence or divergence of a series and identify the limit of a sequence of terms. This one-page worksheet contains four multi-step problems.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 9 - Spring 1996\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math activity, students state the tests for convergence or divergence of a series. Then they apply the tests of convergence and divergence.\n
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\n\nGet Free Access\n\nSee Review\n
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\nWorksheet 10\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math activity, they state the tests for convergence or divergence of a series. Then they show examples of series to which the tests could be applied.\n
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\n\nGet Free Access\n\nSee Review\n
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\nWorksheet 15 - Spring 1996\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, learners solve the functions from the definition of Taylor polynomials of degree 4 centered at zero.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Alternating Series Remainder\n

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\n\nFor Students\n\n11th\n
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\nApply the alternating series remainder to approximate alternating series to a given error bound.\n
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\n\"Khan\n\n
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\nKhan Academy: Alternating Series Test\n

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\n\nFor Students\n\n11th\n
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\nPractice your understanding of the alternating series test and determine whether given series converge conditionally or absolutely.\n
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\n\"Khan\n\n
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\nKhan Academy: Alternating Series Remainder\n

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\n\nFor Students\n\n11th\n
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\nBy computing only the first few terms of an alternating series, we can get a pretty good estimate for the infinite sum. See why.\n
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\n\"Math\n\n
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\nMath Words\n
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\nMath Words: Alternating Series Test\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis site begins with the general form of an alternating series and then gives an easy to follow discussion of how to determine if an alternating series is convergent.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Patrick\n\n
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\nPatrick Jmt: Alternating Series\n

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\n\nFor Students\n\n9th - 10th\n
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\nEasy to understand video presents a basic idea of how to show an alternating series along with a very easy example. [6:00]\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Math\n\n
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\nMath Open Reference\n
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\nMath Open Reference: Alternating Series Test\n

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\n\nFor Students\n\n9th - 10th\n
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\nLearn about the alternating series test with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.\n
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\n\nGet Free Access\n\nSee Review\n
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\n\"Wolfram\n\n
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\nWolfram Research\n
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\nWolfram Math World: Alternating Series\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis site provides a brief overview of an alternating series. Content includes formula examples.\n
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\nKhan Academy\n
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\nKhan Academy: Alternating Series Test\n

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\n\nFor Students\n\n11th\n
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\nWhen a series alternates (plus, minus, plus, minus,...) there's a fairly simple way to determine whether it converges or diverges: see if the terms of the series approach 0.\n
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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"A\n\n
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\nTexas A&M University\n
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\nA Divergent Alternating Series Whose Terms Go to Zero\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis site gives an example of an alternating series whose terms go to zero but whose sum diverges. Can you guess why it diverges? Go to this site to find out why.\n
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\n\"Sierra\n\n
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\nSierra College: Summary of Tests for Series\n

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\n\nFor Students\n\n9th - 10th\n
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\nProvides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...\n
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\n\"Old\n\n
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\nOld Dominion University/ the Alternating Series Test\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis site provides the equation for the alernating series test.\n
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\n\nGet Free Access\n\nSee Review\n
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Unit Plan
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\n\"Wolfram\n\n
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\nWolfram Research\n
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\nWolfram Math World: Leibniz Criterion\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis page states the Leibniz Criterion, or the alternating series test that determines whether or not an alternating series converges.\n
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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"Math2.org:\n\n
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\nMath2\n
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\nMath2.org: Series Convergence Tests\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis is an excellent resource! It states all of the most common tests for series convergence. Examples are not included.\n
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\n\nGet Free Access\n\nSee Review\n
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