What is the next term of the geometric sequence? 108,36,12", "

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. In the given sequence, each term is divided by the same number to get the next term. The given sequence is geometric.Find Common Ratio: Identify the common ratio of the sequence. To find the common ratio, divide a term by the previous term. 36 / 108 = 1/3 The common ratio is 1/3.Calculate Next Term: Find the next term in the sequence using the common ratio. The last term given is 12, and the common ratio is 1/3. Multiply the last term by the common ratio to find the next term. 12 * (1/3) = 4 The next term in the sequence is 4.

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What is the next term of the geometric sequence?

108,36,12", "

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Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. $\newline$ In the given sequence, each term is divided by the same number to get the next term. $\newline$ The given sequence is geometric.
Find Common Ratio: Identify the common ratio of the sequence. $\newline$ To find the common ratio, divide a term by the previous term. $\newline$ $\frac{36}{108} = \frac{1}{3}$ $\newline$ The common ratio is $\frac{1}{3}$ .
Calculate Next Term: Find the next term in the sequence using the common ratio. $\newline$ The last term given is $12$ , and the common ratio is $\frac{1}{3}$ . $\newline$ Multiply the last term by the common ratio to find the next term. $\newline$ $12 \times \left(\frac{1}{3}\right) = 4$ $\newline$ The next term in the sequence is $4$ .