Telescoping Series: Definition & Examples


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question 1 of 3

The numbers 1/12, 1/20, 1/30, 1/42, ... belong to a set of numbers. There are an infinite number of these numbers in the set. If we add all these numbers together, then we have _____?

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1. For the set of numbers: 1/12, 1/20, 1/30, 1/42, ..., the sum, 1/12 + 1/20 + 1/30, is _____?

2. Which of the possible answers is equal to:

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About This Quiz & Worksheet

Answer these questions to find out what you know about mathematical series. Make sure you can correctly answer questions involving telescoping series and partial sums.

Quiz & Worksheet Goals

In this set of quiz questions you'll assess your understanding of:

  • The sum of all the numbers in an infinite set
  • Convergence
  • The term for the sum of a few of the numbers of an infinite set

Skills Practiced

  • Critical thinking - apply relevant concepts to examine information about mathematical series in a different light
  • Problem solving - use acquired knowledge to solve telescoping series practice problems
  • Information recall - access the knowledge you've gained regarding expansion of a telescoping series' partial sum in partial fraction form

Additional Learning

For a better understanding of this mathematical concept, read the lesson titled Telescoping Series: Definition & Examples. This lesson covers new ideas like:

  • Using the variable n in a collection of numbers
  • Partial fraction expansion
  • The correct notations used to express series