What you provide
What you provide
- First term, using the same scenario as the other inputs
- Common ratio, using the same scenario as the other inputs
- Term number, using the same scenario as the other inputs
MATH / SERIES
Finite Geometric Series Calculator
Sum a finite geometric progression using its first term, ratio, and number of terms. Review the equation, substituted values, result context, and modelling limits in one guided workspace.
- 01 Calculated in this tab
- 02 Values stay in this browser tab
- 03 Use boundary
Use boundary
Calculation path
Sum a finite geometric progression using its first term, ratio, and number of terms. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.
Calculation path
S_n = a_1(1 - r^n) / (1 - r)
What you receive
What you receive
- Series sum from the stated equation
- A symbolic formula plus substituted working with your values
- Visible assumptions, field guidance, and an authoritative learning reference
Use boundary
Choose the maximum decimal places shown. This does not increase source accuracy.
This displayed form requires a common ratio other than one.
Use internally consistent units and retain extra precision when carrying the result into another calculation.
Reviewed reference factors