Math & Science100% Free Tool

Free Arithmetic Sequence & Series Calculator (Nth Term & Sum) Online

Calculate the Nth term a_n = a₁ + (n - 1)d, common difference d, and partial sum S_n of an arithmetic progression. — 100% free online utility, zero sign-up, zero paywalls, and private client-side processing.

100% Client-Side0ms Latency
Algebraic & Polynomial Solverax² + bx + c = 0
Roots of Equationx₁ = 3.000, x₂ = 2.000
Discriminant (Δ)1
Parabola Vertex(2.50, -0.25)
Axis of Symmetryx = 2.50

How It Works

1

Enter First Term (a₁)

Input sequence starting value.

2

Enter Common Difference (d)

Input step increment between consecutive terms.

3

Enter Term Index (n)

Specify target term number.

4

Review Nth Term & Sum

View a_n and cumulative series sum S_n = n(a₁ + a_n)/2.

Frequently Asked Questions

S_n = (n / 2) × [2a₁ + (n - 1)d] = n × (a₁ + a_n) / 2.

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