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In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15 … is an arithmetic progression with common difference of 2.If the initial term of an arithmetic progression is  and the common difference of successive members is d, then the nth term of the sequence () is given by:and in general
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