Catalan Numbers: Formula, Applications & Example

Instructions:

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question 1 of 3

What is the formula for the nth Catalan number?

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1. What notation do we use to denote the nth Catalan number?

2. Find C10.

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About This Quiz & Worksheet

Answer these mobile-friendly questions to see what you know about Catalan numbers. When you take the quiz, you'll be going over subjects like the formula for the nth Catalan number and the correct notation for this number.

Quiz & Worksheet Goals

You'll need to have a grasp on the following for the quiz:

  • C10
  • Number of ways you can split a hexagon into triangles by connecting the vertices with line segments that don't cross
  • Number of permutations there are of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, such that there are no three consecutive integers

Skills Practiced

  • Problem solving - use acquired knowledge to solve Catalan number practice problems
  • Knowledge application - use your knowledge to answer questions about the notation of the nth Catalan number and the ways you can split a hexagon into triangles by connecting the vertices with line segments that don't cross
  • Information recall - access the knowledge you've gained regarding the formula for the nth Catalan number

Additional Learning

More information on Catalan numbers is available from the lesson called Catalan Numbers: Formula, Applications & Example. Here are some of the main points:

  • Definition of Catalan numbers
  • Simplifying these numbers in an equation
  • Ways Catalan numbers are used in math
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