How to Calculate Geometric Sequence
Find any term and sum of a geometric sequence.
The Formula
aₙ = a₁ × rⁿ⁻¹The geometric sequence formula uses the mathematical relationship: aₙ = a₁ × rⁿ⁻¹. Each variable in the formula represents a measurable quantity that affects the final result.
Step-by-Step Method
- 1Identify all input values needed for the geometric sequence calculation.
- 2Substitute your known values into the formula: aₙ = a₁ × rⁿ⁻¹.
- 3Perform the arithmetic operations in the correct order (PEMDAS/BODMAS).
- 4Check that your result has the correct units and is within a reasonable range.
- 5Verify using the interactive Geometric Sequence Calculator to confirm your answer.
Related Topics
geometric sequenceseriesmath
Use the Interactive Calculator
Skip the manual math — get instant results with our free Geometric Sequence calculator.