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What are the next three terms of the geometric sequence 8, 4, 2, ____, ____, ____ ?Select one:a. 1, 0, -1b. 1, 0.5, 0c. 1, 0.5, -0.5d. 1, 0.5, 0.25

Question

What are the next three terms of the geometric sequence 8, 4, 2, ____, ____, ____ ?

Select one:

  • a. 1, 0, -1
  • b. 1, 0.5, 0
  • c. 1, 0.5, -0.5
  • d. 1, 0.5, 0.25
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Solution

The next three terms of the geometric sequence can be found by multiplying the last term by the common ratio. In this case, the common ratio is 4/8 = 2/4 = 1/2.

So, the next term after 2 would be 2 * 1/2 = 1.

The term after that would be 1 * 1/2 = 0.5.

And the term after that would be 0.5 * 1/2 = 0.25.

So, the next three terms of the sequence are 1, 0.5, 0.25.

Therefore, the correct answer is d. 1, 0.5, 0.25.

This problem has been solved

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