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7-9.
  1. Consider the sequence that begins 40, 20, 10, 5, … Homework Help ✎

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

    2. Assume this is a geometric sequence. On graph paper, plot the sequence on a graph up to n = 6.

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

Refer to the Math Notes box in Lesson 5.3.2.

Start by making a table of values.

No. Multiplying by 0.5 will never yield 0 unless the other factor is 0, which is impossible in this sequence.
When multiplying two positive numbers, a negative number can never be obtained.