Back to AP® Calculus BC

Unit 10 of 10

Infinite Sequences and Series

This unit introduces infinite series and methods for determining convergence or divergence. Students study geometric series, convergence tests, alternating series, Taylor polynomials, error bounds, and power series representations.

Start free
UnitsLessons
  1. 04Contextual Applications of Differentiation7
  2. 05Analytical Applications of Differentiation12
  3. 06Integration and Accumulation of Change14
  4. 07Differential Equations9
  5. 08Applications of Integration13
  6. 09Parametric Equations, Polar Coordinates, and Vector-Valued Functions9
  7. 10Infinite Sequences and Series15
3 more units in the course outline
Units of AP® Calculus BC

Lessons

15 lessons in this unit

  1. 10.1Defining Convergent and Divergent Infinite SeriesPreview lesson
  2. 10.2Working with Geometric SeriesPreview lesson
  3. 10.3The nth Term Test for DivergencePreview lesson
  4. 10.4Integral Test for ConvergencePreview lesson
  5. 10.5Harmonic Series and p-SeriesPreview lesson
  6. 10.6Comparison Tests for ConvergencePreview lesson
  7. 10.7Alternating Series Test for ConvergencePreview lesson
  8. 10.8Ratio Test for ConvergencePreview lesson
  9. 10.9Determining Absolute or Conditional ConvergencePreview lesson
  10. 10.10Alternating Series Error BoundPreview lesson
  11. 10.11Finding Taylor Polynomial Approximations of FunctionsPreview lesson
  12. 10.12Lagrange Error BoundPreview lesson
  13. 10.13Radius and Interval of Convergence of Power SeriesPreview lesson
  14. 10.14Finding Taylor or Maclaurin Series for a FunctionPreview lesson
  15. 10.15Representing Functions as Power SeriesPreview lesson

Ready to master AP® Calculus BC?

Join 40,000+ students studying AP® Calculus BC with zero paywalls. Free interactive lessons, practice, and exams at your own pace.

Start free Join Discord