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Series PowerPoint Presentation

Series

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Series

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  1. Series Does nth term go to zero? Yes, series MIGHT converge NO, series definitely diverges (The sum of the series approaches infinity)

  2. Series Series Series Type: Arithmetic Does nth term go to zero? Therefore, series diverges (The sum of the series approaches infinity)

  3. Series Series Type: Arithmetic Does nth term go to zero? Therefore, series diverges (The sum of the series approaches infinity)

  4. Series Series Type: Geometric Does nth term go to zero? Therefore, series diverges (The sum of the series approaches infinity)

  5. Series Series Type: Geometric Does nth term go to zero? Therefore, the series MIGHT converge (The sum of the series might approach a #)

  6. Series Series Type: Geometric Does nth term go to zero? Therefore, the series MIGHT converge (The sum of the series might approach a #)

  7. Series Series Type: Harmonic (P-Series with p=1) Does nth term go to zero? Therefore, the series MIGHT converge (The sum of the series might approach a #)

  8. Series Series Type: P-Series with p=2 Does nth term go to zero? Therefore, the series MIGHT converge (The sum of the series might approach a #)

  9. Series Series Type: P-Series with p=½ Does nth term go to zero? Therefore, the series MIGHT converge (The sum of the series might approach a #)

  10. Series Series Type: Telescoping Series Does nth term go to zero? Therefore, the series MIGHT converge (The sum of the series might approach a #)

  11. Series Series Type: Telescoping Series Does nth term go to zero? Therefore, the series MIGHT converge (The sum of the series might approach a #)

  12. Series Series Type: Telescoping Series Does nth term go to zero? Therefore, the series MIGHT converge (The sum of the series might approach a #)

  13. Series Series Type: Telescoping Series Does nth term go to zero? Therefore, the series MIGHT converge (The sum of the series might approach a #)

  14. Series Series Type: Alternating Series Does nth term go to zero? Therefore, the series DIVERGES (The sum of the series approaches infinity)

  15. Series Series Type: Alternating Harmonic (P-Series p=1) Does nth term go to zero? Therefore, the series MIGHT converge (The sum of the series might approach a #)