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, -1b. 1, 0.5, 0c. 1, 0.5, -0.5d. 1, 0.5, 0.25
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.
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