definitions a sequence is a list of numbers in a particular order. each number in a sequence is...

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11.1 Arithmetic Sequences

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  • Slide 1
  • Slide 2
  • Definitions A SEQUENCE is a list of numbers in a particular order. Each number in a sequence is called a TERM.
  • Slide 3
  • Definition Arithmetic Sequence
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  • SequenceNumber 55494337 symbols Number symbols
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  • SequenceNumber 55494337 symbols Number symbols
  • Slide 10
  • SequenceNumber 55494337 symbols Number55+1(-6) symbols
  • Slide 11
  • SequenceNumber 55494337 symbols Number55+1(-6)55+2(-6) symbols
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  • SequenceNumber 55494337 symbols Number55+1(-6)55+2(-6) symbols
  • Slide 13
  • SequenceNumber 55494337 symbols Number55+1(-6)55+2(-6) symbols
  • Slide 14
  • SequenceNumber 55494337 symbols Number55+1(-6)55+2(-6)55+3(-6)55+(n-1)d symbols
  • Slide 15
  • SequenceNumber 55494337 symbols Number55+0(-6)55+1(-6)55+2(-6)55+3(-6)55+(n-1)d symbols
  • Slide 16
  • SequenceNumber 55494337 symbols Number55+0(-6)55+1(-6)55+2(-6)55+3(-6)55+(n-1)d symbols
  • Slide 17
  • Example What is the 15 th term of the sequence 34, 31, 28, Does a common difference exist?
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  • Example What is the 15 th term of the sequence 34, 31, 28, Does a common difference exist? Yes. What is the common difference?
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  • Example What is the 15 th term of the sequence 34, 31, 28, Does a common difference exist? Yes. What is the common difference? -3
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  • Example What is the 15 th term of the sequence 34, 31, 28, Does a common difference exist? Yes. What is the common difference? -3
  • Slide 21
  • Example What is the 15 th term of the sequence 34, 31, 28, Does a common difference exist? Yes. What is the common difference? -3
  • Slide 22
  • Example What is the 15 th term of the sequence 34, 31, 28, Does a common difference exist? Yes. What is the common difference? -3
  • Slide 23
  • Example What is the 15 th term of the sequence 34, 31, 28, Does a common difference exist? Yes. What is the common difference? -3
  • Slide 24
  • Arithmetic Means The terms between any two nonsuccessive terms of an arithmetic sequence are called ARITHMETIC MEANS. In the sequence below 41, 52, and 63 are the three arithmetic means between 30 and 74.
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  • Example Arithmetic Means
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  • Assignment