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oxed{\left( \dfrac{20}{7}, \dfrac{66}{7}
$$Question: A statistician models a time series using a geometric sequence where the first term is $ 3 $ and the common ratio is $ r $. If the sum of the first five terms exceeds $ 300 $, what is the smallest integer value of $ r $ that satisfies this condition?
The sum of the first five terms of a geometric sequence with first term $ a = 3 $ and common ratio $ r $ is given by:

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