I advise my students to listen carefully the moment they decide to take no more mathematics courses. They might be able to hear the sound of closing doors.

James Caballero, Everybody a mathematician?, CAIP Quarterly 2 (Fall, 1989).

sections:

      10.1, 10.2, and 10.3

We shall cover only the sections on sequences and series.

objectives:

• define what is meant by a sequence
• distinguish between finite and infinite sequences
• explain what is meant by the covergence of a sequence
• determine a sequence when a recursion formula is used
• define a factorial
• use summation notation
• define an arithmetic sequence
• calculate useful values for an arithmetic sequence
• define a geometric sequence
• calculate useful values for a geometric sequence
• define a series
• explain what is meant by convergence of a series
• find the sum of a finite geometric series
• find the sum of an infinite geometric series
• use series to solve problems