Geometric Sequence Calculator
Calculate terms, sum, and properties of geometric sequences with our free online calculator.
Category: Calculator
Geometric Sequence Calculator
Calculate terms and sum of a geometric sequence
About Geometric Sequences
A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
- The formula for the nth term is: an = a × rn-1
- The formula for the sum of n terms is: Sn = a(1 - rn)/(1 - r) if r ≠ 1
- The formula for the sum to infinity (if |r| < 1) is: S∞ = a/(1 - r)
- Example: 3, 6, 12, 24, 48, ... (a = 3, r = 2)