Consider the pattern. 5 plus 5 thirds plus 5 ninths plus 5 over 27 plus 5 over 81 plus dot dot dot What does this pattern represent?

The terms are 5, 5/3, 5/9, 5/27, and 5/81. Each term is 1/3 of the previous term, so they form a geometric sequence. Since the pattern adds these terms together, it represents a geometric series.

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