Find the common ratio of the geometric sequence 8,-64,512,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: (-64) ÷ 8.Calculate Division: Calculating the division: (-64) ÷ 8 = -8. This is the common ratio, as long as it is consistent for other terms.Verify Common Ratio: To verify that -8 is indeed the common ratio, we should check if the third term divided by the second term also equals -8. Let's calculate 512 ÷ (-64).Calculate Division: Calculating the division: 512 ÷ (-64) = -8. This confirms that the common ratio is consistent for 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
8,-64,512,dots
Answer:

Find the common ratio of the geometric sequence $8,-64,512, \ldots$ $\newline$ Answer:

View step-by-step help

Full solution

Q. Find the common ratio of the geometric sequence

8,-64,512, \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: $(-64) \div 8$ .
Calculate Division: Calculating the division: $(-64) \div 8 = -8$ . This is the common ratio, as long as it is consistent for other terms.
Verify Common Ratio: To verify that $-8$ is indeed the common ratio, we should check if the third term divided by the second term also equals $-8$ . Let's calculate $512 \div (-64)$ .
Calculate Division: Calculating the division: $512 \div (-64) = -8$ . $\newline$ This confirms that the common ratio is consistent for these terms.