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P-Series: Definition & Examples

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

Rewrite the following series as a p-series to determine if it converges or diverges, and state the reason.

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1. Determine if the p-series converges or diverges and state the reason.

2. Which of the following is a p-series?

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About This Quiz & Worksheet

There are different ways a series can converge or diverge in a p-series. Take a look at this quiz/worksheet and see what you know about topics like the rewriting of a series into a p-series and an example of a series that diverges/converges.

Quiz & Worksheet Goals

You'll be responsible for the following points:

  • P-series where p is equal to a fraction
  • Determining a p-series regarding the cube root of a variable
  • Series that's the same as a harmonic series

Skills Practiced

  • Problem solving - use your acquired knowledge to solve p-series that converge/diverge practice problems
  • Knowledge application - use your knowledge to answer questions about a series that's similar to a harmonic series
  • Information recall - access the knowledge you've gained regarding a cube root of a variable in a p-series

Additional Learning

For more information on a series in mathematics, consider the lesson named P-Series: Definition & Examples. These topics will be highlighted throughout the lesson:

  • An infinite series
  • Formation of a harmonic series
  • P as a negative number in a p-series
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