What is the next term of the geometric sequence? 192,48,12", "

Identify type of sequence: Identify the type of sequence. The sequence 192, 48, 12 is reducing by a factor each time, which indicates it is a geometric sequence.Determine common ratio: Determine the common ratio of the geometric sequence. To find the common ratio, divide the second term by the first term: 48 / 192 = 1/4. Common Ratio: 1/4Calculate next term: Calculate the next term in the sequence using the common ratio. The last term given in the sequence is 12. To find the next term, multiply 12 by the common ratio of 1/4. Next term: 12 * 1/4 = 3

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What is the next term of the geometric sequence?

192,48,12", "

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Identify type of sequence: Identify the type of sequence. $\newline$ The sequence $192$ , $48$ , $12$ is reducing by a factor each time, which indicates it is a geometric sequence.
Determine common ratio: Determine the common ratio of the geometric sequence. $\newline$ To find the common ratio, divide the second term by the first term: $\frac{48}{192} = \frac{1}{4}$ . $\newline$ Common Ratio: $\frac{1}{4}$
Calculate next term: Calculate the next term in the sequence using the common ratio. $\newline$ The last term given in the sequence is $12$ . To find the next term, multiply $12$ by the common ratio of $\frac{1}{4}$ . $\newline$ Next term: $12 \times \frac{1}{4} = 3$