Arithmetic Series Summation is a verified mathematics & percentage calculation tool on Calcify. Calculate the n-th term (a_n) and sum of first n terms (S_n) of an Arithmetic Progression (AP). All calculations execute locally in your browser with multi-currency support, visual breakdowns, and white-label client exports.
20-th Term (a_20) = 62
a_n = a₁ + (n - 1)d; S_n = (n / 2) × [ 2a₁ + (n - 1)d ]
Example Inputs: First Term (a₁): 5 · Common Difference (d): 3 · Number of Terms (n): 20
Example Output: Sum of First 20 Terms (S_20): 670 (20-th Term (a_20) = 62)
The Arithmetic Series Summation on Calcify applies the verified mathematical formula: a_n = a₁ + (n - 1)d; S_n = (n / 2) × [ 2a₁ + (n - 1)d ]. Every input is validated in real time with multi-currency formatting to ensure zero rounding or division errors.
Computes exact closed-form Gauss summation for any arithmetic sequence.
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