What is the next term of the arithmetic sequence? 7,11,15,19", "

Identify sequence type: Identify the type of sequence. The sequence 7, 11, 15, 19 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 the first term from the second term: 11 - 7 = 4.Verify common difference: Verify the common difference by checking other consecutive terms. Subtract the second term from the third term: 15 - 11 = 4, and the third term from the fourth term: 19 - 15 = 4. The common difference is consistent.Calculate next term: Calculate the next term in the sequence by adding the common difference to the last given term. The last term given is 19, so add the common difference of 4 to find the next term: 19 + 4 = 23.

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?

7,11,15,19", "

What is the next term of the arithmetic sequence? $\newline$ $7, 11, 15, 19$

View step-by-step help

Full solution

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

\newline

7, 11, 15, 19

Identify sequence type: Identify the type of sequence. $\newline$ The sequence $7, 11, 15, 19$ 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 the first term from the second term: $11 - 7 = 4$ .
Verify common difference: Verify the common difference by checking other consecutive terms. $\newline$ Subtract the second term from the third term: $15 - 11 = 4$ , and the third term from the fourth term: $19 - 15 = 4$ . The common difference is consistent.
Calculate next term: Calculate the next term in the sequence by adding the common difference to the last given term. $\newline$ The last term given is $19$ , so add the common difference of $4$ to find the next term: $19 + 4 = 23$ .