Arithmetic & Geometric Sequence Calculator

Find the n-th term and the sum of the first n terms of arithmetic and geometric sequences.

Results

Arithmetic: aβ‚™β€”
Arithmetic: Sβ‚™β€”
Geometric: aβ‚™β€”
Geometric: Sβ‚™β€”
Geometric: Sβˆžβ€”

How to use the Arithmetic & Geometric Sequence Calculator

  1. Enter or select: First term a₁, Common difference d / ratio r, Number of terms n.
  2. The results (Arithmetic: aβ‚™, Arithmetic: Sβ‚™, Geometric: aβ‚™, Geometric: Sβ‚™, Geometric: S∞) are calculated instantly as you type.
  3. Use β€œCopy link” to share the calculation with the same input values.

Formula

  • aβ‚™ = a₁ + (nβˆ’1)d, Sβ‚™ = n/2Β·(2a₁ + (nβˆ’1)d)
  • aβ‚™ = a₁rⁿ⁻¹, Sβ‚™ = a₁(1 βˆ’ rⁿ)/(1 βˆ’ r)