Algebra & Equations
Geometric Sequence Term
nth term of a geometric sequence.
Formula
Formula
an = a1 · rn−1
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| a₁ | first term | computed result | — | result |
| r | common ratio | real number (ℝ) | — | input |
| n | term index | integer (ℤ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenfirst term a₁ = 2, ratio r = 3, n = 6
Result486
Example 2
Givenfirst term a₁ = 1, ratio r = 0.5, n = 5
Result0.0625