The common difference of the sequence 7, 11, 15, 19 is 4.
Understanding Common Difference
A common difference is a constant value that is added or subtracted to each term in an arithmetic sequence to obtain the next term. To find the common difference, simply subtract any term from the term that immediately follows it.
Calculating the Common Difference
Here's how to calculate the common difference for the given sequence:
| Calculation | Result |
|---|---|
| 11 - 7 | 4 |
| 15 - 11 | 4 |
| 19 - 15 | 4 |
As you can see, the difference between consecutive terms is consistently 4.
- Step 1: Identify consecutive terms.
- Step 2: Subtract the first term from the second term.
- Step 3: Repeat step two with other pairs of consecutive terms to verify consistency.
The reference explicitly states, "In the above sequence, there is a difference of four between each term: 11-7=4, 15-11=4". This confirms our calculation and understanding.
Therefore, the common difference in the given sequence is indeed 4.
