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This is the final lesson in a five-lesson unit on Sequences and Series for students enrolled in AP Calculus BC or Calculus 2.
Every lesson includes
✎ A set of Guided Student Notes
✎ A daily homework assignment
✎ Two forms of a daily homework quiz or exit ticket
✎ Teachers also have the benefit of a fully-editable SMART Board® Lesson for presentation and discussion.
★ Use the Alternating Series Test for convergence
★ Use the Alternating Series Remainder to approximate the sum of an alternating series
★ Classify convergent series as either absolutely or conditionally convergent
★ Rearrange an infinite series to obtain a different sum
College Board® Learning Objectives:
★ LO4.1A Determine whether a series converges or diverges
★ EK 4.1B2: If an alternating series converse by the alternating series test, then the alternating series error bound can be used to estimate how close a partial sum is to the value of the infinite series.
★ EK 4.1B3: If a series converges absolutely, then any series obtained from it by regrouping or rearranging the terms has the same value
★ EK 4.1A6: In addition to examining the limit of the sequence of partial sums of the series, methods for determining whether a series of numbers converges or diverges includes the alternating series test.
The unit includes the following topics:
5. Alternating Series
The SMART Board lesson can be used in many ways.
Teachers can display the presentation using the following:
* SMART Board®
* Airliner Wireless Slate
* Through the SMART Notebook Express ®
* Promethean Boards©
* Other APPS available for Tablets
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