Sequence Calculator
Calculate sequence instantly with our math tool. Shows detailed work, formulas used, and multiple solution methods. Enter your values for instant results.
Reviewed by Manoj Kumar, Mathematics Educator
Reviewed by Manoj Kumar, Mathematics Educator
Formula
Arithmetic: aₙ = a₁ + (n-1)d, Sₙ = n(a₁+aₙ)/2 | Geometric: aₙ = a₁ × rⁿ⁻¹, Sₙ = a₁(1-rⁿ)/(1-r)
Arithmetic sequences add a constant difference. Geometric sequences multiply by a constant ratio.
Worked Examples
Example 1: Arithmetic
Problem:a₁=3, d=5, n=10
Solution:a₁₀ = 3+9×5 = 48, Sum = 10×(3+48)/2 = 255
Result:a₁₀ = 48, Sum = 255
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy