Sequences and Series


This chapter on sequences and series provides students with experience in recognizing patterns and writing explicit and recursive formulas. Students are also introduced to summation notation and mathematical induction.

What you can expect to learn

After completing these activities you should be able to:

  1. Find a given term of a sequence.
  2. Find a specified term of an arithmetic sequence.
  3. Distinguish arithmetic from geometric sequences, and be able to find a specified term of a geometric sequence.
  4. Find the sums of given arithmetic sequences.
  5. Find the sum of a given geometric sequence or series, and determine whether a geometric sequence converges or diverges.
Activity List