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Arithmetic Series and Summation Notation

Learn about arithmetic series, summation notation, and linear functions in this informative guide. Find the explicit formula, common difference, and calculate the sum of given series.

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Arithmetic Series and Summation Notation

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  1. Ch.9 Sequences and Series Section 4 –Arithmetic Series Part 2

  2. Definition: Limits Limits are the lest and greatest values of n in a series.

  3. EXample What is the summation notation for the series? 7+11+15+…+203+207

  4. EXample What is the summation notation for the series? -5+2+9+16+…+261+268

  5. Concept: Summation Notation and Linear Functions If the explicit formula for nth term in summation notation is a linear function of n, then the series is arithmetic. The slope is the common difference.

  6. EXample What is the sum of the series?

  7. EXample What is the sum of the series?

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