Which of the following geometric series is a representation of the repeating decimal 0.999999…?

A is geometric because each term is multiplied by 0.01: 0.99, 0.0099, 0.000099, and so on. Its terms fill in successive pairs of 9s, giving 0.999999…. C is also geometric, with each term multiplied by 0.1, and its terms add 9s in successive decimal places. B is not geometric because the ratios between its successive terms are not constant.

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