In an arithmetic sequence, every term after the first is obtained by adding a constant, referred to as the common difference (d). S n = the sum of the first n terms of the arithmetic sequence,ĭerivation of Sum of Arithmetic Series Formula.n = the total number of terms in the sequence andįormula 2: The sum of the first n terms of the arithmetic sequence where the n th term, S n is known is given by:.d = the common difference between the terms,.
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