X n = a + d(n−1) (We use "n−1" because d is not used in the 1st term)īy using the formula, we can find the summation of the terms of this arithmetic sequence. The general representation of arithmetic series is a, a + d, a + 2d.a + d(n−1)Īs per the rule or formula, we can write an Arithmetic Sequence as: Also, if the common ratio is 1, then the sum of the Geometric progression is given by: S n na if r1. a is the first item, n is the number of terms, and. Also, look at the below solved example and learn how to find arithmetic sequences manually.įind the sum of the arithmetic sequence of 2,4,6,8,10,12,14,16?Ī is the first term and d is the common difference The formula to determine the sum of n terms of Geometric sequence is: S n a (1 r n )/ (1 r) if r < 1 and r 1. By using this formula, we can easily find the summation of arithmetic sequences.įor practical understanding of the concept, go with our Arithmetic Sequence Calculator and provide the input list of numbers and make your calculations easier at a faster pace. It is represented by the formula an a1 r (n-1), where a1 is the first term of the sequence, an is the nth term of the sequence, and r is the common ratio. If you substitute the value of arithmetic sequence of the nth term, we obtain S = n/2 * after simplification.Later, multiply them with the number of pairs.
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