Question

Tell whether the sequence is arithmetic. If it​ is, identify the common difference.
7​, 11​, 15​, 19​, ...
Question content area bottom
Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The sequence is arithmetic and has a common difference of
  
enter your response here.
B.
The sequence is not arithmetic.

Answer 1

To determine if the sequence \(7, 11, 15, 19, \ldots\) is arithmetic, we need to check if the difference between consecutive terms is constant.

1. Calculate the difference between the second term and the first term:
\[
11 - 7 = 4
\]

2. Calculate the difference between the third term and the second term:
\[
15 - 11 = 4
\]

3. Calculate the difference between the fourth term and the third term:
\[
19 - 15 = 4
\]

Since the difference between each pair of consecutive terms is the same (4), the sequence is arithmetic.

**Part 1 Answer:**
A. The sequence is arithmetic and has a common difference of \(4\).