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Consider the sequence that begins

  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.