// multi-utility computation suite · offline · instant · precise
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math.arithmetic-series Calculator
Calculates the nth term, partial sum to n terms, and the sum from term a to term b of an arithmetic series. The formula Sₙ = n/2 × (first + last) was discovered by Gauss at age 10 when summing integers 1 to 100.
Inputs
A1
Reference formula or conversion factor shown for context.
D
Reference formula or conversion factor shown for context.
N
Count of items or occurrences.
Results
sum of n terms
The arithmetic total of all input values.
nth term
Sample size or count used in the calculation.
mean of series
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
n
Sample size or count used in the calculation.
Sn = n/2 × (a1 + an)
Sample size or count used in the calculation.
Gauss shortcut
Reference formula or conversion factor shown for context.