What is the next term of the geometric sequence? 2,6,18", "

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. In the given sequence, each term after the first is multiplied by a common ratio to get the next term. This indicates that the sequence is geometric.Find Common Ratio: Determine the common ratio of the sequence. To find the common ratio, divide the second term by the first term, or the third term by the second term. 6 / 2 = 3 and 18 / 6 = 3 Common Ratio: 3Calculate Next Term: Calculate the next term in the sequence using the common ratio. The last given term is 18, and the common ratio is 3. 18 * 3 = 54 The next term in the sequence is 54.

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What is the next term of the geometric sequence?

2,6,18", "

What is the next term of the geometric sequence? $\newline$ $2, 6, 18$ ,

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

\newline

2, 6, 18

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. $\newline$ In the given sequence, each term after the first is multiplied by a common ratio $r$ to get the next term. This indicates that the sequence is geometric.
Find Common Ratio: Determine the common ratio of the sequence. $\newline$ To find the common ratio, divide the second term by the first term, or the third term by the second term. $\newline$ $\frac{6}{2} = 3$ and $\frac{18}{6} = 3$ $\newline$ Common Ratio: $3$
Calculate Next Term: Calculate the next term in the sequence using the common ratio. $\newline$ The last given term is $18$ , and the common ratio is $3$ . $\newline$ $18 \times 3 = 54$ $\newline$ The next term in the sequence is $54$ .