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Geometric Series & Applications




 

Videos and lessons to help High School students learn to derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.

Suggested Learning Targets

  • Develop the formula for the sum of a finite geometric series when the ratio is not 1.
  • Use the formula to solve real world problems such as calculate mortgage payments.

Common Core: HSA-SSE.B.4

Related Topics:
Geometric Sequence

Common Core (Algebra)

Common Core for Mathematics

Geometric Series
This video introduces geometric series.


Formula for finite geometric series.





Geometric Series (How to Find the Sum of a Sequence)
How can you find the sum of a geometric series when you're given only the first few terms and the last one? There are two formulas, and I show you how to do it. You need to find "n" for the last term.


Geometric series sum to figure out mortgage payments
Figuring out the formula for fixed mortgage payments using the sum of a geometric series.



 

Geometric Series Application - Total Income with Doubling Pay
This video provides an application problem that can be modeled by the sum of an a geometric sequence dealing with total income with pay doubling everyday.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.





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