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  2. A series number formula is a formula that gives the sum of a series of numbers1.There are different types of series number formulas, depending on the pattern of the series23.Some examples are213:
    • Arithmetic series: S n = n/2 (a 1 + a n), where a 1 is the first term, a n is the n th term, and n is the number of terms.
    • Geometric series: S n = x 1 (r n - 1) / (r - 1), where x 1 is the first term, r is the common ratio, and n is the number of terms.
    Learn more:
    The series of a sequence is the sum of the sequence to a certain number of terms. It is often written as S n. So if the sequence is 2, 4, 6, 8, 10,..., the sum to 3 terms = S 3 = 2 + 4 + 6 = 12.
    revisionmaths.com/advanced-level-maths-revision/…
    A series has a constant difference between terms. For example, 3 + 7 + 11 + 15 + ….. + 99. We name the first term as a1. The common difference is often named as “d”, and the number of terms in the series is n. We can find out the sum of the arithmetic series by multiplying the number of times the average of the last and first terms.
    The geometric number series is generalized in the formula: x n = x 1 × r n-1 where; x n = n th term, x 1 = the first term, r =common ratio, and n = number of terms.
    www.storyofmathematics.com/number-sequences/
     
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