Sums of Geometric Series

This Sums of Geometric Series interactive also includes:

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 that will make a series divergent or convergent. Learners determine the formula for the sum of the first n terms of a geometric series.

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CCSS: Adaptable
Instructional Ideas

  • Lead a discussion on whether all geometric series with a common ratio less than one are divergent
Classroom Considerations

  • Assumes the class is familiar with geometric sequences
  • Users must sign up for a free CK-12 account before accessing the resource
Pros

  • Lets students see the correct answer if necessary
  • Provides additional examples and problems in the supplemental material
Cons

  • None
Common Core