formula for sum of arithmetic series
S=n(a1+an/2)
The formula for the sum of an arithmetic series is:
S = (n/2)(a1 + an)
where
S = sum of the arithmetic series
n = number of terms in the series
a1 = first term of the series
an = nth term of the series
We can also express this formula in terms of the common difference (d) between the terms of the series:
S = (n/2)(2a1 + (n-1)d)
This formula can be used to find the sum of any arithmetic series, provided that we know the number of terms and either the first and last terms or the first term and the common difference between the terms.
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