What is the next term of the arithmetic sequence? 3,9,15", "

Identify sequence type: Identify the type of sequence. The sequence 3, 9, 15 appears to have a constant difference between consecutive terms, which suggests it is an arithmetic sequence.Determine common difference: Determine the common difference in the arithmetic sequence. The difference between the first two terms is 9 - 3 = 6, and the difference between the second and third terms is 15 - 9 = 6.Calculate next term: Calculate the next term in the sequence. Since the common difference is 6, we add this to the last term of the sequence to find the next term: 15 + 6 = 21.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the next term of the arithmetic sequence?

3,9,15", "

What is the next term of the arithmetic sequence? $\newline$ $3, 9, 15, \ldots$

View step-by-step help

Full solution

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

\newline

3, 9, 15, \ldots

Identify sequence type: Identify the type of sequence. $\newline$ The sequence $3$ , $9$ , $15$ appears to have a constant difference between consecutive terms, which suggests it is an arithmetic sequence.
Determine common difference: Determine the common difference in the arithmetic sequence. $\newline$ The difference between the first two terms is $9 - 3 = 6$ , and the difference between the second and third terms is $15 - 9 = 6$ .
Calculate next term: Calculate the next term in the sequence. $\newline$ Since the common difference is $6$ , we add this to the last term of the sequence to find the next term: $15 + 6 = 21$ .