Binomial Theorem: Applications & Examples

Instructions:

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

question 1 of 3

The Binomial Theorem helps you solve which of the following problems?

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1.

Use Binomial Approximation to expand this binomial:

(1 + x)23

The absolute value of x is less than 1.

2. For which of the following binomials will the Binomial Theorem give you an infinite series?

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About This Quiz & Worksheet

Quiz your knowledge of the applications associated with the Binomial Theorem with these assessments. Multiple-choice questions will cover key areas of interest like a type of problem the Binomial Theorem can help to solve and the proper use of binomial approximation.

Quiz & Worksheet Goals

You'll be quizzed on these Binomial Theorem applications:

  • Infinite series
  • Formula to expand a binomial
  • Expanding a binomial

Skills Practiced

  • Problem solving - use acquired knowledge to solve Binomial Theorem practice problems
  • Knowledge application - use your knowledge to answer questions about binomial approximation and the use of the Binomial Theorem that will result in an infinite series
  • Information recall - access the knowledge you've gained regarding a problem that can be solved using the Binomial Theorem

Additional Learning

For more on the mathematical theorem, consider the lesson named Binomial Theorem: Applications & Examples. These points will serve as a guide for the lesson:

  • Reason the Binomial Theorem is useful when dealing with binomial terms
  • Positive integers
  • Formula to use for a rational index
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