Geometric Sequence Calculator
Calculate the last term and the total sum using the first term, common ratio, and number of terms.
Input
The example value has been entered. Check it immediately or change the value.
Input is processed in the browser. Refreshing returns a sample value.
Result
Check or change the value using the example value result.
Fractional results are displayed up to 12 digits of precision. Please unify units in the input values.
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Calculation·conversion criteria
Find the term of a sequence that changes by a fixed ratio and its sum.
Input example
First term 2, common ratio 3, 4term: sum = 80
If the first term is 2, common ratio is 3, and number of terms is 4, then the values are 2, 6, 18, 54, and the sum is 80. As the term increases, it may exceed the calculation range, so be careful with large exponents.
How to use
- Use the provided example value or change the first term, overhead cost, and term number items.
- Click Verify result and check the following result.
- Result can be copied if needed.
Frequently Asked Questions
If the contribution is 1, doesn’t the denominator of the formula become 0?
1 contribution is processed separately. The final item is made equal to the first item, and the sum is calculated as the first item × number of items. If the contribution is negative, the sign of each item may alternate.
Calculation criteria and reference materials
The calculation formula and scope of this tool are disclosed in the above description. Examples can be checked by substituting input values into the formula or following the specified string and calendar handling rules.
Verification of calculation criteria: · Calculation·verification principles · Report errors