Answer
The sequence provided is 2.4, -4.8, 9.6, -19.2. To determine whether there is a common difference or a common ratio, we can analyze the differences and the ratios of consecutive terms. Calculating the common difference for the first two terms: The difference is -4.8 – 2.4 = -7.2. For the second and third terms: The difference is 9.6 – (-4.8) = 14.4. Since these common differences are not the same, the sequence does not exhibit a common difference. Now, to check for a common ratio, we can compute the ratios of consecutive terms. For the first two terms: The ratio is -4.8 / 2.4 = -2. For the second and third terms: The ratio is 9.6 / -4.8 = -2.0. Thus, the series maintains a common ratio of -2.0.
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