What is the next term of the geometric sequence? 189,63,21", "

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. In the given sequence, each term is divided by the same number to get the next term. The given sequence is geometric.Find Common Ratio: Identify the common ratio of the sequence. To find the common ratio, divide the second term by the first term. 63 / 189 = 1/3 Common Ratio: 1/3Find Next Term: Find the next term in the sequence. To find the next term, multiply the last known term by the common ratio. 21 * (1/3) = 7 Next Term: 7

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the next term of the geometric sequence?

189,63,21", "

What is the next term of the geometric sequence? $\newline$ $189, 63, 21, \ldots$

View step-by-step help

Full solution

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

\newline

189, 63, 21, \ldots

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. $\newline$ In the given sequence, each term is divided by the same number to get the next term. $\newline$ The given sequence is geometric.
Find Common Ratio: Identify the common ratio of the sequence. $\newline$ To find the common ratio, divide the second term by the first term. $\newline$ $\frac{63}{189} = \frac{1}{3}$ $\newline$ Common Ratio: $\frac{1}{3}$
Find Next Term: Find the next term in the sequence. $\newline$ To find the next term, multiply the last known term by the common ratio. $\newline$ $21 \times \left(\frac{1}{3}\right) = 7$ $\newline$ Next Term: $7$