The common difference of the arithmetic sequence 5, 8, 11, 14 is 3.
Understanding Arithmetic Sequences
An arithmetic sequence is a series of numbers where the difference between consecutive terms remains constant. This constant difference is called the common difference. To find the common difference, simply subtract any term from the term that follows it.
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Example: In the sequence 5, 8, 11, 14:
- 8 - 5 = 3
- 11 - 8 = 3
- 14 - 11 = 3
Since the difference is consistently 3, the common difference is 3.
Finding the Common Difference: A Step-by-Step Guide
- Identify the sequence: We have the sequence 5, 8, 11, 14.
- Subtract consecutive terms: Subtract the first term from the second, the second from the third, and so on.
- Check for consistency: If the differences are all the same, that value is your common difference.
As shown in the examples above and confirmed by multiple sources (Toppr, Mathway, Chegg, Quora, etc.), the common difference is indeed 3. This consistent difference is a defining characteristic of an arithmetic sequence.
