Sequences and series

Learning objectives

  • Distinguish between sequences a, b, c, … and series a+b+c+…
  • Master geometric series \sum ax^n
  • Encounter some famous series
  • Use series convergence tests:
    • comparison with integral (p-series)
    • comparison with geometric series (ratio test)
    • alternating series test

Before class

  • Ponder Hughes-Hallett problems:  9.1: 3,26,29; 9.2: 23; 9.3: 9, 13, 46; 9.4: 15, 20, 25; 9.5: 11.

In class