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Arithmetic Sequences

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Agenda

  • Learning Goals
  • Arithmetic Sequences
  • Practice

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Learning Goals

What are we aiming for today?

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Learning Goals

  • Identify the characteristics of arithmetic sequences
  • Apply arithmetic sequences to problems
  • Determine if a sequence is not arithmetic

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Arithmetic Sequences

The same difference

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Patterns

  • What comes next?
  • Go to the canva

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Arithmetic Sequences

  • An ordered list of numbers (possibly infinite) with a common difference between each number
  • Examples:
    • 1, 3, 5, 7, 9, …
    • 13, 10, 7, 4, 1, -2, -5, …
    • ​

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Arithmetic Sequences

  • How to get a general expression
  • Let n be the term number
  • Let a be the starting value
  • Let d be the common difference
  • What is the recursive form?
  • Go to the canva

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Arithmetic Sequences

  • Given a general expression
  • There are four possible variables
  • This leads to different types of questions that can be asked
    • Use the available information
    • You may need to solve a system of linear equations
  • Notice Desmos and relationship to lines

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Practice

Makes perfect

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Practice

  • Go to the canva

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Credits

Special thanks to all the people who made and released these awesome resources for free:

  • Presentation template by SlidesCarnival

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