What is the next term of the geometric sequence? 5,15,45", "

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. In the given sequence, each term after the first is obtained by multiplying the previous term by a constant number, which suggests that the sequence is geometric.Find Common Ratio: Identify the common ratio of the geometric sequence. To find the common ratio, divide the second term by the first term, or the third term by the second term. 15 / 5 = 3 45 / 15 = 3 Common Ratio: 3Find Next Term: Find the next term in the sequence. To find the next term, multiply the last known term by the common ratio. 45 * 3 = 135 Next Term: 135

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?

5,15,45", "

What is the next term of the geometric sequence? $\newline$ $5, 15, 45$

View step-by-step help

Full solution

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

\newline

5, 15, 45

Identify Sequence Type: Identify whether the given sequence is geometric or arithmetic. $\newline$ In the given sequence, each term after the first is obtained by multiplying the previous term by a constant number, which suggests that the sequence is geometric.
Find Common Ratio: Identify the common ratio of the geometric sequence. $\newline$ To find the common ratio, divide the second term by the first term, or the third term by the second term. $\newline$ $\frac{15}{5} = 3$ $\newline$ $\frac{45}{15} = 3$ $\newline$ Common Ratio: $3$
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. $\newline$ $45 \times 3 = 135$ $\newline$ Next Term: $135$