, 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. d = 4 (the "common difference" between terms).We can also notice that every term (except the first term) of this AP is obtained by adding 4 to its previous term. is an arithmetic progression as the differences between every two consecutive terms are the same (as 4). The first term of an arithmetic progression is usually denoted by 'a' or 'a 1'.įor example, 1, 5, 9, 13, 17, 21, 25, 29, 33. ![]() This fixed number is known as the common difference and is denoted by 'd'. ![]() In this progression, each term, except the first term, is obtained by adding a fixed number to its previous term. An arithmetic progression (AP) is a sequence of numbers where the differences between every two consecutive terms are the same.
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