Geometric Sequence Term CalculatorFree online math calculator — instant results, no sign-up
Find a specified geometric-sequence term.
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About the Geometric Sequence Term Calculator
Find a specified geometric-sequence term. Uses the stated mathematical model and consistent units. Display is rounded to six decimal places; preserve precision for chained calculations.
- First term
- Enter first term. Accepted minimum: -1000000.0.
- Common ratio
- Enter common ratio. Accepted minimum: -100. Maximum: 100.
- Term index
- Enter term index. Accepted minimum: 1. Maximum: 100.
Formula and method
Result = first * ratio ** (term - 1)
- firstFirst term
- ratioCommon ratio
- termTerm index
Find a specified geometric-sequence term. Substitute the variables using the units defined above. Uses the stated mathematical model and consistent units. Display is rounded to six decimal places; preserve precision for chained calculations.
Worked example
These are the calculator's starting values and the results it actually produces for them.
Inputs
- First term3
- Common ratio2
- Term index5
Results
- Result48
How to use the Geometric Sequence Term Calculator
- 1Enter first term.
- 2Check common ratio, term index.
- 3Read the numerical result and compare the stated assumptions with your situation.
Reading your result
Find a specified geometric-sequence term. The displayed quantity is dimensionless. A negative value, when the formula permits one, describes the direction of the difference—not a positive gain.
Limitations
Uses the stated mathematical model and consistent units. Display is rounded to six decimal places; preserve precision for chained calculations. Numeric results are rounded for display; the calculation does not establish that your chosen inputs represent a realistic or permitted scenario.
Common questions
Which units does Geometric Sequence Term require?+
First term: dimensionless number; Common ratio: dimensionless number; Term index: dimensionless number. Do not mix incompatible units.
What assumptions matter for Geometric Sequence Term?+
Uses the stated mathematical model and consistent units. Display is rounded to six decimal places; preserve precision for chained calculations.
How should I check a Geometric Sequence Term result?+
Use the formula above with the shown starting inputs and compare the worked example generated from the tool. Check the original measurements and terms before using the figure.
Does the calculator save my information?+
Calculations run in your browser. While signed in, inputs and results are automatically recorded in account history; saving a result creates a separate saved record.
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Results are estimates for informational purposes and are not financial, medical or legal advice.