The common difference in the arithmetic sequence 5, 13, 21, 29 is 8.
Understanding Arithmetic Sequences
An arithmetic sequence is a series of numbers where the difference between any two consecutive terms is constant. This constant difference is called the common difference.
How to find the common difference:
To find the common difference in an arithmetic sequence, you can simply subtract any term from the term that follows it.
- Example: In the sequence 5, 13, 21, 29,
- 13 - 5 = 8
- 21 - 13 = 8
- 29 - 21 = 8
As shown above, the difference between consecutive terms is consistently 8.
Reference Verification:
The provided reference, "The common difference is N=8. PREMISES Sequence=5, 13, 21, 29,…" confirms that our calculation of the common difference is accurate.
Key takeaway:
The common difference (d) is a constant value added to each term to obtain the next term in an arithmetic sequence. In this particular sequence, d = 8.
Summary
| Term | Value |
|---|---|
| First | 5 |
| Second | 13 |
| Third | 21 |
| Fourth | 29 |
| Common Difference | 8 |
