Common Difference d
In mathematics, the term “common difference” is often used in the context of arithmetic sequences
In mathematics, the term “common difference” is often used in the context of arithmetic sequences. An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed value, known as the common difference, to the previous term.
Formally, let’s consider an arithmetic sequence: a, a + d, a + 2d, a + 3d, …
Here, ‘a’ represents the first term of the sequence, and ‘d’ represents the common difference. The subsequent terms of the sequence are obtained by adding ‘d’ to the previous term.
For example, if we have an arithmetic sequence starting with the term 5 and a common difference of 3, the sequence would be: 5, 8, 11, 14, 17, …
In this case, the value of ‘a’ is 5, and the value of ‘d’ is 3. Each term is obtained by adding 3 to the previous term.
The common difference is an essential concept in arithmetic sequences, as it determines the pattern and progression of the sequence. It allows us to find any term in the sequence and discover relationships between the terms.
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