What is the next term of the arithmetic sequence? -7,-3,1,5,9", "

Identify sequence type: Identify the type of sequence. The sequence -7, -3, 1, 5, 9 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. To find the common difference, subtract any term from the term that follows it. For example, -3 - (-7) = 4.Verify common difference: Verify the common difference by checking it with another pair of consecutive terms. Let's check the difference between 1 and 5: 5 - 1 = 4. The common difference is confirmed to be 4.Calculate next term: Calculate the next term in the sequence by adding the common difference to the last known term. The last known term is 9, so adding the common difference of 4 gives us 9 + 4 = 13.

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?

-7,-3,1,5,9", "

What is the next term of the arithmetic sequence? $\newline$ $-7,-3,1,5,9$

View step-by-step help

Full solution

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

\newline

-7,-3,1,5,9

Identify sequence type: Identify the type of sequence. $\newline$ The sequence $-7$ , $-3$ , $1$ , $5$ , $9$ 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. $\newline$ To find the common difference, subtract any term from the term that follows it. For example, $-3 - (-7) = 4$ .
Verify common difference: Verify the common difference by checking it with another pair of consecutive terms. $\newline$ Let's check the difference between $1$ and $5$ : $5 - 1 = 4$ . The common difference is confirmed to be $4$ .
Calculate next term: Calculate the next term in the sequence by adding the common difference to the last known term. $\newline$ The last known term is $9$ , so adding the common difference of $4$ gives us $9 + 4 = 13$ .