What is the next term of the geometric sequence? 7,21,63", "

Identify pattern in sequence: Identify the pattern in the sequence to determine if it is geometric. The sequence is 7, 21, 63. Each term is obtained by multiplying the previous term by a constant number.Calculate common ratio: Calculate the common ratio of the sequence. The second term is 21 and the first term is 7. To find the common ratio, divide the second term by the first term: 21 / 7 = 3. The third term is 63 and the second term is 21. To confirm the common ratio, divide the third term by the second term: 63 / 21 = 3. The common ratio is confirmed to be 3.Find next term in sequence: Find the next term in the sequence by multiplying the last known term by the common ratio. The last known term is 63, and the common ratio is 3. Multiply these to find the next term: 63 * 3 = 189.

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What is the next term of the geometric sequence?

7,21,63", "

What is the next term of the geometric sequence? $\newline$ $7, 21, 63$ ,

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

\newline

7, 21, 63

Identify pattern in sequence: Identify the pattern in the sequence to determine if it is geometric. $\newline$ The sequence is $7$ , $21$ , $63$ . Each term is obtained by multiplying the previous term by a constant number.
Calculate common ratio: Calculate the common ratio of the sequence. $\newline$ The second term is $21$ and the first term is $7$ . To find the common ratio, divide the second term by the first term: $\frac{21}{7} = 3$ . $\newline$ The third term is $63$ and the second term is $21$ . To confirm the common ratio, divide the third term by the second term: $\frac{63}{21} = 3$ . $\newline$ The common ratio is confirmed to be $3$ .
Find next term in sequence: Find the next term in the sequence by multiplying the last known term by the common ratio. $\newline$ The last known term is $63$ , and the common ratio is $3$ . Multiply these to find the next term: $63 \times 3 = 189$ .