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Arithmetic

Series Formula

In general, any arithmetic sequence can be paired to find the same sum as the first and last terms and there will be SeriesFormula1 pairs. Therefore, the following formula can be used to determine the arithmetic series with any number of terms.

SeriesFormula2

SeriesFormula3 or SeriesFormula4


Where a 1 is the first term, a n is the last term, and n is the number of terms.