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University of Vienna (Austria)

University of Vienna: Sequences Convergent or Divergent?

For Students 9th - 10th
Given a set of eight sequence formulae, determine whether each is convergent or divergent. After completing the exercises, the site returns a score to judge understanding of such sequences.
Handout
Wolfram Research

Wolfram Math World: Divergence Test

For Students 9th - 10th
This is a brief statement of a divergence test that can be used to determine whether or not a given series converges or diverges. Provides no explanation, but simply a statement.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Ratio Test

For Students 9th - 10th
Visual Calculus offers a discussion and exercises concerning the ratio test for convergence of series.
Handout
Wolfram Research

Wolfram Math World: Integral Test

For Students 9th - 10th
This page gives a brief statement of the Integral Test for convergent or divergent series. This test is also called the Cauchy Integral Test or the Maclaurin Integral Test.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Integral Test

For Students 9th - 10th
Visual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.
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McGraw Hill

Glencoe Mathematics: Online Study Tool: Quiz on Convergent and Divergent Series

For Students 9th - 10th
Learners exhibit comprehension of advanced mathematical concepts in Pre-Calculus. The online quiz tests the scholars on convergent and divergent series.
Activity
CK-12 Foundation

Ck 12: Plix: Divergent Plate Boundaries

For Students 7th - 9th
[Free Registration/Login Required] Get a visual of how a divergent boundary can cause a rift valley to form in the ocean on this site. Test your knowledge of the mid-ocean ridge on this page.
Activity
Wolfram Research

Wolfram Math World: Ratio Test

For Students 9th - 10th
This page states the Ratio Test for convergent or divergent series, sometimes called the Cauchy Ratio Test or the d'Alembert Ratio Test. Brief but informational.
Activity
Other

Seton Hall University: The Divergence Test

For Students 9th - 10th
This lesson, which is provided for by the Seton Hall University, explains the divergence test.
Handout
Math Words

Math Words: Root Test

For Students 9th - 10th
Math Word briefly states the root test and discusses when the series is convergent, divergent or does not exist.
Handout
Texas A&M University

A Divergent Alternating Series Whose Terms Go to Zero

For Students 9th - 10th
This 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.
Handout
Math2

Math2.org: Series Expansions

For Students 9th - 10th
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
Handout
Wolfram Research

Wolfram Math World: Convergence Tests

For Students 9th - 10th
This page provides links to information about tests to determine the convergence or divergence of a series. No information about convergence tests is offered directly at this link.
Activity
Other

Shippensburg University: The Root Test

For Students 9th - 10th
This site provides a brief overview of the root test, presenting one sequence with converges absolutely and one which diverges.
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Northwestern University

North Western University: Series [Pdf]

For Students 9th - 10th
The definition of a series is provided in a PDF document. The document also details the geometric, telescoping and harmonic series, tests for divergence, and series rules.
Interactive
PurposeGames

Purpose Games: Plate Tectonics

For Students 3rd - 8th
Gamers will test their knowledge of plate tectonics with this interactive. Know your divergent plate boundaries, hot spots, trenches, lithosphere, and other trivial facts of plate tectonics.
Handout
Wolfram Research

Wolfram Math World: Harmonic Series

For Students 9th - 10th
This MathWorld site provides a general overview of the harmonic series.
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Khan Academy

Khan Academy: The Evolution of Gecko Toepads

For Students 9th - 10th
This is a five-questions related to the passage "The Evolution of Gecko Toepads."

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