The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary). 30,12,(24)/(5),dots Find the 6th term. Answer:

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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).  30,12,(24)/(5),dots Find the 6th term. Answer:

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Determine Pattern or Rule: To find the 6th term of the sequence, we first need to determine the pattern or rule that the sequence follows. We can start by looking at the ratios of consecutive terms to see if the sequence is geometric.Calculate Common Ratio: The ratio of the second term to the first term is 12/30 = 0.4. The ratio of the third term to the second term is (24/5)/12 = (24/5) * (1/12) = 2/5 = 0.4. Since these ratios are the same, we can conclude that the sequence is a geometric sequence with a common ratio of 0.4.Use Geometric Sequence Formula: To find the 6th term, we use the formula for the nth term of a geometric sequence, which is a_n = a_1 * r^(n-1), where a_1 is the first term, r is the common ratio, and n is the term number. Here, a_1 = 30, r = 0.4, and n = 6.Substitute Values into Formula: Plugging the values into the formula, we get a_6 = 30 * 0.4^(6-1) = 30 * 0.4^5.Calculate Exponential Value: Calculating 0.4^5, we get 0.4^5 = 0.01024.Find 6th Term: Now, we multiply 30 by 0.01024 to find the 6th term: a_6 = 30 * 0.01024 = 0.3072.Round to Nearest Thousandth: Since we need to round to the nearest thousandth, the 6th term rounded to the nearest thousandth is 0.307.

The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary). $\newline$ $30,12, \frac{24}{5}, \ldots$ $\newline$ Find the $6$ th term. $\newline$ Answer:

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The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary).\newline30,12,245,… 30,12, \frac{24}{5}, \ldots 30,12,524​,…\newlineFind the 666th term.\newlineAnswer:

The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth (if necessary). $\newline$ $30,12, \frac{24}{5}, \ldots$ $\newline$ Find the $6$ th term. $\newline$ Answer: