How to Calculate a Geometric Series


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question 1 of 3

Find the sum of the following geometric series:

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1. Find the sum of the following geometric series:

2. A ball is dropped and begins bouncing. On the first bounce, the ball travels 3 feet. Each consecutive bounce is 1/8 the distance of the previous bounce. What is the total distance that the ball travels after it first hits the ground? Round to the nearest hundredth.

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About This Quiz & Worksheet

Many of these quiz questions present you with a geometric series and ask you questions about its characteristics. Other questions ask you about concepts related to a geometric series.

Quiz & Worksheet Goals

The assessment will test you on the following topics:

  • Definition of a geometric series
  • Finding the sum of geometric series
  • Formula used for a finite geometric series

Skills Practiced

The quiz allows you to brush up on the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related algebra lesson
  • Making connections - use understanding of the concept of geometric series
  • Critical thinking - apply relevant concepts to examine information about a geometric series in a different light
  • Problem solving - use acquired knowledge to solve geometric series practice problems

Additional Learning

Finish the quiz and go to the partner lesson, How to Calculate a Geometric Series. The lesson covers these objectives:

  • Define finite geometric series mathematically
  • Explore an infinite geometric series
  • Understand the parts of a geometric series