Find the common ratio of the geometric sequence 15,-90,540,dots Answer:

Find Common Ratio: To find the common ratio of a geometric sequence, we divide any term by the previous term. Let's divide the second term by the first term to find the common ratio. Common ratio (r) = (-90) / 15Calculate Common Ratio: Now, let's perform the calculation: r = (-90) / 15 r = -6Check Consistency: To ensure that -6 is indeed the common ratio, we should check if the third term divided by the second term also equals -6. Let's check: 540 / (-90)Performing the calculation for the check: 540 / (-90) = -6 This confirms that the common ratio is consistent across these terms.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the common ratio of the geometric sequence
15,-90,540,dots
Answer:

Find the common ratio of the geometric sequence $15,-90,540, \ldots$ $\newline$ Answer:

View step-by-step help

Full solution

Q. Find the common ratio of the geometric sequence

15,-90,540, \ldots

\newline

Answer:

Find Common Ratio: To find the common ratio of a geometric sequence, we divide any term by the previous term. Let's divide the second term by the first term to find the common ratio. Common ratio $r$ = $(-90) / 15$
Calculate Common Ratio: Now, let's perform the calculation: $\newline$ $r = (-90) / 15$ $\newline$ $r = -6$
Check Consistency: To ensure that $-6$ is indeed the common ratio, we should check if the third term divided by the second term also equals $-6$ . Let's check: $540 / (-90)$
Check Consistency: To ensure that $-6$ is indeed the common ratio, we should check if the third term divided by the second term also equals $-6$ . Let's check: $540 / (-90)$ Performing the calculation for the check: $540 / (-90) = -6$ This confirms that the common ratio is consistent across these terms.