What is the next term of the geometric sequence? 32,16,8", "

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. In the given sequence, each term is half the previous term, which suggests a common ratio. The given sequence is geometric.Find Common Ratio: Identify the common ratio. Two consecutive terms are 32 and 16. 16 / 32 = 0.5 Common Ratio: 0.5Find Next Term: Find the next term in the sequence. The last term given in the sequence is 8. To find the next term, multiply the last term by the common ratio. 8 * 0.5 = 4 Next Term: 4

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?

32,16,8", "

What is the next term of the geometric sequence? $\newline$ $32, 16, 8$ ,

View step-by-step help

Full solution

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

\newline

32, 16, 8

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. $\newline$ In the given sequence, each term is $\frac{1}{2}$ the previous term, which suggests a common ratio. $\newline$ The given sequence is geometric.
Find Common Ratio: Identify the common ratio. $\newline$ Two consecutive terms are $32$ and $16$ . $\newline$ $\frac{16}{32} = 0.5$ $\newline$ Common Ratio: $0.5$
Find Next Term: Find the next term in the sequence. $\newline$ The last term given in the sequence is $8$ . $\newline$ To find the next term, multiply the last term by the common ratio. $\newline$ $8 \times 0.5 = 4$ $\newline$ Next Term: $4$