Arithmetic and Geometric Sequences


Find the value of individual terms in an arithmetic or geometric sequence using graphs of the sequence and direct computation. Vary the common difference and common ratio and examine how the sequence changes in response.

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Assessment Questions (5):

  1. What is the common difference in the arithmetic sequence 20, 18, 16, 14, 12,…?
  2. What are the next three terms of the arithmetic sequence −14, −9, −4, 1,…?
  3. What is the common ratio in the geometric sequence 10, 20, 40, 80, …?
  4. What are the next three terms of the geometric sequence 64, 32, 16, …?
  5. Which of the following describes the sequence 1, 4, 9, 16, 25,…?

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