Master the properties of Arithmetic Progression (A.P.) with our focused tutorial for JEE Main 2025! Understand key concepts, formulas, and problem-solving techniques to boost your math skills and ace your exams.
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An arithmetic progression, often referred to as an AP, is a sequence of numbers where each term is obtained by adding the same fixed number to the previous term. This fixed number is known as the common difference and is represented as ‘d’. The initial term of an arithmetic progression is typically denoted as ‘a’ or ‘a1’. For instance, consider the sequence: 1, 5, 9, 13, 17, 21, 25, 29, 33, and so on. This is an arithmetic progression because the difference between every two consecutive terms is the same, which is 4. In other words, when you subtract any term from the one before it, you always get 4 as the result (5 – 1 = 9 – 5 = 13 – 9 = and so on). Moreover, you can see that each term (except the first one) in this sequence is obtained by adding 4 to the previous term. In this particular arithmetic progression:
The first term (a) is 1.
The common difference (d) is 4.
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