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Convergent Series Teacher Resources
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Learners investigate sequences and series numerically, graphically, and symbolically. For this sequences and series lesson, students use their Ti-89 to determine if a series is convergent. Learners find the terms in a sequence and series and graph them. Students use summation notation to determine the sum of a sequence.
In this Calculus activity, 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 interactive activity contains fifty-two problems. Answers are not provided.
Students investigate geometric series. In this Algebra II/Pre-Calculus lesson plan, students use a spreadsheet application to create partial sums of geometric series and observe convergence and divergence. Students investigate the relationship between the behavior of the graph and the common ratio of the series. Students examine the formula for the sum of a divergent infinite geometric series.
Explore differential equations by using models representing growth and decline. Using calculus, learners will investigate exponential and logistic growth in the context of several models representing the growth or decline of a population. Most of the models have a closed-form solutions. Problems and solutions are included.
Students prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine both the numerical and graphical representations of the sequence.
In this college level Calculus activity, 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 activity contains twenty-one problems. Answers are not provided.