What is the next term of the geometric sequence? 54,36,24", "

Determine the common ratio: To find the next term of the geometric sequence, we need to determine the common ratio (r) of the sequence. The common ratio is found by dividing any term by the previous term. Let's divide the second term by the first term to find the common ratio. r = 36 / 54Perform the division: Now, let's perform the division to find the value of r. r = 36 / 54 = 2/3 This means that each term is multiplied by 2/3 to get the next term.Calculate the value of r: To find the next term after 24, we multiply 24 by the common ratio (2/3). Next term = 24 * (2/3)Multiply by the common ratio: Let's perform the multiplication to find the next term. Next term = 24 * (2/3) = 48 / 3 = 16

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What is the next term of the geometric sequence?

54,36,24", "

What is the next term of the geometric sequence? $\newline$ $54, 36, 24$ ,

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

\newline

54, 36, 24

Determine the common ratio: To find the next term of the geometric sequence, we need to determine the common ratio $r$ of the sequence. The common ratio is found by dividing any term by the previous term. $\newline$ Let's divide the second term by the first term to find the common ratio. $\newline$ $r = \frac{36}{54}$
Perform the division: Now, let's perform the division to find the value of $r$ . $r = \frac{36}{54} = \frac{2}{3}$ This means that each term is multiplied by $\frac{2}{3}$ to get the next term.
Calculate the value of $r$ : To find the next term after $24$ , we multiply $24$ by the common ratio $(\frac{2}{3})$ . $\newline$ Next term = $24 \times (\frac{2}{3})$
Multiply by the common ratio: Let's perform the multiplication to find the next term. $\newline$ Next term = $24 \times \left(\frac{2}{3}\right) = \frac{48}{3} = 16$