What is the next term of the geometric sequence? -(3)/(5),(6)/(5),-(12)/(5)", "

Identify pattern of sequence: Identify the pattern of the given geometric sequence. The given sequence is: -(3/5), (6/5), -(12/5) We need to determine if there is a common ratio between the terms.Calculate common ratio: Calculate the common ratio by dividing the second term by the first term. (6/5) / (-(3/5)) = -2 Common Ratio: -2Verify common ratio: Verify the common ratio by dividing the third term by the second term. (-(12/5)) / (6/5) = -2 The common ratio is consistent.Find next term: Find the next term by multiplying the last known term by the common ratio. Last known term: -(12/5) Common ratio: -2 Next term: -(12/5) * -2 = 24/5

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What is the next term of the geometric sequence?

-(3)/(5),(6)/(5),-(12)/(5)", "

What is the next term of the geometric sequence? $\newline$ $-\frac{3}{5}, \frac{6}{5}, -\frac{12}{5}$ ,

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Q. What is the next term of the geometric sequence?

\newline

-\frac{3}{5}, \frac{6}{5}, -\frac{12}{5}

Identify pattern of sequence: Identify the pattern of the given geometric sequence. $\newline$ The given sequence is: $-(\frac{3}{5})$ , $(\frac{6}{5})$ , $-(\frac{12}{5})$ $\newline$ We need to determine if there is a common ratio between the terms.
Calculate common ratio: Calculate the common ratio by dividing the second term by the first term. $\newline$ $(\frac{6}{5}) / (-(\frac{3}{5})) = -2$ $\newline$ Common Ratio: $-2$
Verify common ratio: Verify the common ratio by dividing the third term by the second term. $\newline$ $-\left(\frac{12}{5}\right) / \left(\frac{6}{5}\right) = -2$ $\newline$ The common ratio is consistent.
Find next term: Find the next term by multiplying the last known term by the common ratio. $\newline$ Last known term: $-(\frac{12}{5})$ $\newline$ Common ratio: $-2$ $\newline$ Next term: $-(\frac{12}{5}) \cdot -2 = \frac{24}{5}$