Find the common ratio of the geometric sequence -11,33,-99,dots Answer:

Divide Terms: 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: 33 ÷ (-11).Calculate Division: Calculating the division: 33 ÷ (-11) = -3. This gives us the common ratio of the sequence.Check Consistency: To ensure that -3 is indeed the common ratio, we should check if dividing the third term by the second term also gives us -3. Let's calculate: (-99) ÷ 33.Calculating the division: (-99) ÷ 33 = -3. 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
-11,33,-99,dots
Answer:

Find the common ratio of the geometric sequence $-11,33,-99, \ldots$ $\newline$ Answer:

View step-by-step help

Full solution

Q. Find the common ratio of the geometric sequence

-11,33,-99, \ldots

\newline

Answer:

Divide Terms: To find the common ratio of a geometric sequence, we divide any term by the previous term. $\newline$ Let's divide the second term by the first term: $33 \div (-11)$ .
Calculate Division: Calculating the division: $33 \div (-11) = -3$ . This gives us the common ratio of the sequence.
Check Consistency: To ensure that $-3$ is indeed the common ratio, we should check if dividing the third term by the second term also gives us $-3$ . Let's calculate: $(-99) \div 33$ .
Check Consistency: To ensure that $-3$ is indeed the common ratio, we should check if dividing the third term by the second term also gives us $-3$ . Let's calculate: $(-99) \div 33$ . Calculating the division: $(-99) \div 33 = -3$ . This confirms that the common ratio is consistent across these terms.