The common difference of the arithmetic sequence 1, 8, 15, 22 is 7.
Understanding Arithmetic Sequences and Common Difference
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is called the "common difference".
According to the reference, this is an arithmetic sequence because adding the same number to the previous term gives you the next term.
Calculating the Common Difference
To find the common difference, subtract any term from the term that follows it. Let's do that for this sequence:
- 8 - 1 = 7
- 15 - 8 = 7
- 22 - 15 = 7
As you can see, the common difference is 7. Adding 7 to the previous term in the sequence gives the next term.
Example
Here's a table illustrating the sequence and common difference:
| Term Number | Term Value | Calculation |
|---|---|---|
| 1 | 1 | |
| 2 | 8 | 1 + 7 = 8 |
| 3 | 15 | 8 + 7 = 15 |
| 4 | 22 | 15 + 7 = 22 |
