Sum of Series Calculator
Sum of Series Formulas
Arithmetic Series
The sum of an arithmetic series is found with the formula:
$$ S_n = \frac{n}{2}(a_1 + a_n) $$Where $n = \lfloor \frac{a_{n, \text{end}} - a_1}{d} \rfloor + 1$. The calculator finds the last term ($a_n$) that is less than or equal to the end number you provide.
Geometric Series
The sum of a finite geometric series is found with the formula:
$$ S_n = a_1 \frac{1 - r^n}{1 - r} \quad (for, r \neq 1) $$
Disclaimer: This calculator is for educational purposes. Ensure the input values form a valid series.
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Calculates the sum of Arithmetic and Geometric series.
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