Arithmetic Sequence Calculator
Calculate the last term and the sum using the first term, common difference, 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.
Share result
Share the tool link and result text together. No URL is included in the result. Check the below content and then share it.
Calculation·conversion criteria
Find the term of a sequence that increases by a fixed difference and its sum.
Input example
First term 1, common difference 2, 5term: sum = 25
If the first term is 3, common difference 2, and number of terms is 5, the sequence is 3, 5, 7, 9, 11. The last term is 11, and the sum is 5×(3+11)÷2=35.
How to use
- Use the provided example value or change the first term, deviation, and term number items.
- Click Verify result and check the following result.
- Result can be copied if needed.
Frequently Asked Questions
Can empty difference be negative or 0?
Possible. For a deviation of −2, each term decreases by 2; if the deviation is 0, all terms are equal. The number of terms is a positive integer, and the first term is called the first term.
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