CK-12 Foundation
Sums of Geometric Series
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
Curated OER
College Calculus
In this college level Calculus worksheet, students examine sequences to determine if they are increasing, decreasing, or non monotonic. Students find the sum of series and determine if they diverge. The one page worksheet contains...
Curated OER
Infinite Series
In this math activity, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
Curated OER
Series Review VI
In this college level calculus worksheet, students use the ratio test to determine if a seriesconverges or diverges. The two page worksheet contains six practice problems. Answers are not included.
Curated OER
Review of Calculus BC II
In this Calculus learning exercise, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series. The one page...
Curated OER
Testing Infinite Series for Convergence/ Divergence
In this math learning exercise, students investigate the concepts of divergence and convergence for the functions. The sheet is handwritten and has poor quality.
Curated OER
Basic Calculus II: Quiz 8
In this infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or...
Curated OER
Sequences
Young scholars solve problems using the TI. In this calculus instructional activity, students evaluate functions using sequences. They graph the functions on the TI and make observations.
Curated OER
Math 16C: Worksheet 11
For this calculus worksheet, students answer 13 short-answer problems regarding number sequences, limits, convergence, divergence, polynomials and functions.
Curated OER
Limit Comparison Test
In this calculus worksheet, 11th graders solve 7 problems where they determine the convergence and divergence properties using the limit comparison test.
Curated OER
Worksheet 12
In 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.
Curated OER
Worksheet 16 Practice Exam 1
In this math instructional activity, students consider the Taylor series and the Fibonacci sequence. They define the interval of convergence of the Taylor series.
Curated OER
Worksheet 7
For this math worksheet, students examine the values of the series and determine how they could be defined as divergent. They also evaluate the Squeeze Theorem.
Curated OER
Discussion Sheet 8
In this math worksheet, learners examine the series and determine if they converge or diverge. They also find the interval of convergence for each power series.
Curated OER
Discussion Sheet 8
For this math worksheet, learners apply the test for each series and determine if they converge or diverge. Students also find the exact value of the convergent series.
Curated OER
Discussion Sheet 9
In this math worksheet, learners determine the convergence and divergence for each series using the test that is indicated. They also compute the partial sum and determine the error.
Curated OER
Ratio Test
In this college level Calculus worksheet, students use the ratio test to determine if a series converges or diverges. The one page worksheet contains six problems. Solutions are not provided.
McGraw Hill
Glencoe Mathematics: Online Study Tool: Quiz on Convergent and Divergent Series
Learners exhibit comprehension of advanced mathematical concepts in Pre-Calculus. The online quiz tests the scholars on convergent and divergent series.
Mathematics Archives
Math Archives: Visual Calculus: Ratio Test
Visual Calculus offers a discussion and exercises concerning the ratio test for convergence of series.
Mathematics Archives
Math Archives: Visual Calculus: Integral Test
Visual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.
Other
Sierra College: Summary of Tests for Series
Provides 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,...
Math Medics
S.o.s. Math: Sequences Limits
This lesson discusses the limit of a sequence in mathematics. Compares convergent and divergent sequences and presents numerical and graphical examples.
Math2
Math2.org: Series Expansions
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...
Math Medics
S.o.s. Math: Sequences: Special Limits
This lesson discusses important limits of particular sequences that can be very "useful in many branches of science." Includes good proofs.