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#samantarapragati #arithmetic_progression #class10 #exercise3a #revolutioneducation Arithmetic Progression An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same. In an arithmetic progression, there is a possibility to derive a formula for the nth term. For example, the sequence 2, 6, 10, 14, … is an arithmetic progression (AP) because it follows a pattern where each number is obtained by adding 4 to its previous term. In this sequence, nth term = 4n-2. The terms of the sequence can be obtained by substituting n=1,2,3,... in the nth term. i.e., When n = 1, 4n-2 = 4(1)-2 = 4-2=2 When n = 2, 4n-2 = 4(2)-2 = 8-2=6 When n = 3, 4n-2 = 4(3)-2 = 12-2=10 cuemath_logo Learn Practice Download Arithmetic Progression An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same. In an arithmetic progression, there is a possibility to derive a formula for the nth term. For example, the sequence 2, 6, 10, 14, … is an arithmetic progression (AP) because it follows a pattern where each number is obtained by adding 4 to its previous term. In this sequence, nth term = 4n-2. The terms of the sequence can be obtained by substituting n=1,2,3,... in the nth term. i.e., When n = 1, 4n-2 = 4(1)-2 = 4-2=2 When n = 2, 4n-2 = 4(2)-2 = 8-2=6 When n = 3, 4n-2 = 4(3)-2 = 12-2=10 But how do we find the nth term of a given sequence? Let us learn about arithmetic progression in this article with solved examples. What is Arithmetic Progression? We can define an arithmetic progression (AP) in two ways: An arithmetic progression is a sequence where the differences between every two consecutive terms are the same. An arithmetic progression is a sequence where each term, except the first term, is obtained by adding a fixed number to its previous term. For example, 1, 5, 9, 13, 17, 21, 25, 29, 33, ... Has: a = 1 (the first term) d = 4 (the "common difference" between terms)