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Arithmetic and Geometric Series: Lesson 43

Arithmetic and Geometric Series: Lesson 43. LESSON OBJECTIVE: Find sums of arithmetic and geometric series. Use Sigma Notation. Find specific terms of geometric series. DEFINITIONS Arithmetic series: indicated sum of the terms of a sequence.

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Arithmetic and Geometric Series: Lesson 43

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  1. Arithmetic and Geometric Series: Lesson 43

  2. LESSON OBJECTIVE: • Find sums of arithmetic and geometric series. • Use Sigma Notation. • Find specific terms of geometric series.

  3. DEFINITIONS • Arithmetic series: indicated sum of the terms of a sequence. • Sum of Arithmetic Series: The sum Sn of the first n terms of an arithmetic series is given by:

  4. Sigma Notation: simple form of shorthand used to give a concise expression for a sum of the values of a variable. The summation sign, , instructs us to sum the elements of a sequence.

  5. Stopping point upper limit of summation Summation sign • Index of summation: The variable Typical element Starting point lower limit of summation Index of summation

  6. Geometric series: The sum of the terms of a geometric sequence. • Sum of Geometric Series: The sum Sn of the first n terms of a geometric series is given by:

  7. Please get out the worksheets “Practice-Arithmetic Series” and “Practice-Geometric Series” so I can show you examples of how to use arithmetic and geometric series.

  8. HOMEWORK!! • “Skills Practice-Arithmetic Series” Worksheet. • “Skills Practice-Geometric Series” Worksheet.

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