![]() ![]() is an AP with the first term 91 and common difference -10. is an AP with the first term 6 and common difference 7. ![]() Here are some AP examples with their first term and common difference. Thus, the formula for calculating the common difference of an AP is: d = a n - a n-1. In general, the common difference is the difference between every two successive terms of an AP. , each term, except the first term, is obtained by the addition of 7 to its previous term. For example, in the sequence 6, 13, 20, 27, 34. Here, the “fixed number” is called the “ common difference” and is denoted by 'd' i.e., if the first term is a 1, then: the second term is a 1+ d, the third term is a 1+ d + d = a 1 + 2d, and the fourth term is a 1 + 2d + d= a 1+ 3d and so on. We know that an AP is a sequence where each term, except the first term, is obtained by adding a fixed number to its previous term. Common Difference of Arithmetic Progression: First Term of Arithmetic Progression:Īs the name suggests, the first term of an AP is the first number of the progression. An AP generally is shown as follows: a 1, a 2, a 3. Thus, an arithmetic progression, in general, can be written as: Ĭommon Terms Used in Arithmetic Progressionįrom now on, we will abbreviate arithmetic progression as AP.
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