The common difference in the arithmetic sequence 7, 11, 15, 19, 23 is 4.
To understand this better, let's delve into the concept of arithmetic sequences and common differences.
Understanding Arithmetic Sequences
An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant. This constant difference is called the common difference.
Here's how we can break down the given sequence:
| Term | Value |
|---|---|
| 1st | 7 |
| 2nd | 11 |
| 3rd | 15 |
| 4th | 19 |
| 5th | 23 |
To find the common difference, you can subtract any term from the term immediately following it. Let's do this for a few pairs:
- 11 - 7 = 4
- 15 - 11 = 4
- 19 - 15 = 4
- 23 - 19 = 4
As you can see, the difference between consecutive terms is consistently 4.
Reference Confirmation
The provided reference directly states that "...the sequence 7, 11, 15, 19, ... is arithmetic, and its common difference is 4." This confirms our calculation and understanding.
Therefore, the common difference in the arithmetic sequence 7, 11, 15, 19, 23 is indeed 4.
