Find the common ratio of the geometric sequence 19,95,475,dots Answer:

Identify Pattern: Identify the pattern in the sequence to determine if it is geometric. The sequence provided is 19, 95, 475, which suggests that each term is a multiple of the previous term. This indicates that the sequence is likely geometric.Calculate Ratio: Calculate the ratio between the second and the first term to find the common ratio. The second term is 95 and the first term is 19. To find the common ratio, we divide the second term by the first term. Common ratio = 95 / 19Perform Division: Perform the division to find the common ratio. 95 divided by 19 equals 5. Common ratio = 5Verify Common Ratio: Verify the common ratio by checking if the third term is a product of the second term and the common ratio. The third term is 475 and the second term is 95. Multiply the second term by the common ratio to see if it equals the third term. 95 * 5 = 475 This confirms that the common ratio is correct.

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Find the common ratio of the geometric sequence
19,95,475,dots
Answer:

Find the common ratio of the geometric sequence $19,95,475, \ldots$ $\newline$ Answer:

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Q. Find the common ratio of the geometric sequence

19,95,475, \ldots

\newline

Answer:

Identify Pattern: Identify the pattern in the sequence to determine if it is geometric. $\newline$ The sequence provided is $19$ , $95$ , $475$ , which suggests that each term is a multiple of the previous term. This indicates that the sequence is likely geometric.
Calculate Ratio: Calculate the ratio between the second and the first term to find the common ratio. $\newline$ The second term is $95$ and the first term is $19$ . To find the common ratio, we divide the second term by the first term. $\newline$ Common ratio = $\frac{95}{19}$
Perform Division: Perform the division to find the common ratio. $95$ divided by $19$ equals $5$ . Common ratio = $5$
Verify Common Ratio: Verify the common ratio by checking if the third term is a product of the second term and the common ratio. $\newline$ The third term is $475$ and the second term is $95$ . Multiply the second term by the common ratio to see if it equals the third term. $\newline$ $95 \times 5 = 475$ $\newline$ This confirms that the common ratio is correct.