Arithmetic & Geometric Sequence Calculator Calculator
Enter the first term, common difference/ratio and number of terms to find the n-th term, total sum and a cumulative-sum table for arithmetic or geometric sequences.
Info
Use this arithmetic and geometric sequence calculator to quickly find the n-th term and the sum of the first n terms. Arithmetic sequence formulas: - n-th term: aₙ = a₁ + (n − 1) · d - Sum: Sₙ = n · (a₁ + aₙ) / 2 Geometric sequence formulas: - n-th term: aₙ = a₁ · rⁿ⁻¹ - Sum (r ≠ 1): Sₙ = a₁ · (1 − rⁿ) / (1 − r) - Sum (r = 1): Sₙ = n · a₁ The calculator shows the n-th term, total sum and a cumulative-sum table. Results are intended for educational use.
Other calculators you might like
Calculates VAT and total based on VAT-inclusive or exclusive amounts.
Calculates the neutralization status, remaining concentration, and pH when acid and base solutions are mixed.
Calculate required grass seed amount in lbs, kg, oz and grams based on area and application type. Suitable for new lawns, overseeding, high-traffic areas and shade-tolerant use cases.
Calculate curvature drop, horizon distance, hidden height and additional spherical geometry values for a given distance.