Algebra & Equations
Infinite Geometric Sum
Sum of an infinite geometric series (|r| < 1).
Formula
Formula
S = a11 − r
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| a₁ | first term | computed result | — | result |
| r | ratio (|r| < 1) | real number (ℝ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenfirst term a₁ = 1, ratio r = 0.5
Result2
Example 2
Givenfirst term a₁ = 4, ratio r = 0.25
Result5.333333333