ClarityHow to use this tool
- Enter first term, common difference, number of terms.
- Select Calculate to view the result.
- Check the method and assumptions below before using the result.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| First term | Numeric value. | 3 |
| Common difference | Numeric value. Minimum: -1000000. Maximum: 1000000. | 4 |
| Number of terms | Numeric value. Minimum: 1. Maximum: 1000. | 10 |
Result for these sample inputs
39
- Term number
- 10
- Sum of requested terms
- 210
- First 10 terms
- 3, 7, 11, 15, 19, 23, 27, 31, 35, 39
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
Term n = first term + (n − 1) × common difference. The sum is n × (first term + last term) ÷ 2. Term positions start at 1.
Starting at 3 with a difference of 4 gives 3, 7, 11, 15. The tenth term is 39 and the first ten sum to 210.
What to keep in mind
Accepts up to 1,000 terms and shows the first 20. Decimal inputs use floating-point arithmetic. This tool constructs a specified sequence; it does not infer a pattern from arbitrary data.
Common questions
Can the difference be negative?
Yes. A negative difference makes each successive term smaller. A zero difference repeats the first term.
Is the last term the same as the sum?
No. The last term is one value; the finite sum adds all requested terms.
Methodology maintained by ClarityKit. How these tools are built and checked.