What is the sum of the first six terms of the geometric series? 2 minus 6 plus 18 minus 54 plus dot dot dot

The first term is 2, and each term is multiplied by −3 to get the next one. The first six terms are 2, −6, 18, −54, 162, and −486; adding them gives −364. So the correct choice is C, negative 364.

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