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Consider the sequence that begins Homework Help ✎

  1. Based on the information given, can this sequence be arithmetic? Can it be geometric? Why?

    Read the Math Notes box in Lesson 5.3.2.

  2. Assume this is a geometric sequence. On graph paper, graph the sequence up to .

    Start by making a table of values.

  3. Will the values of the sequence ever become zero or negative? Explain.

    No. Multiplying by will never yield unless the other factor is , which is impossible in this sequence.
    When multiplying two positive numbers, a negative number can never be obtained.