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Lesson Materials

Lesson 12-2: Infinite Series and Limits


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Objective:

The student will be able to determine whether a series converges or diverges and calculate the limit.

  1. The sizes of the bars represent the numbers in a geometric sequence. Use the sliders to set the values of a (the starting value) and r (the common ratio).
  2. The value for r must be between 0 and 1. What happens to the consecutive terms when r is between 0 and 1? What if r is 1? 0?
  3. The smaller r, ... what is true?

Explore a geometric series. Online Activity

Temple: Online activity that demonstrates a convergent infinite series. Temple

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