How it works
Find the nth term and sum of an arithmetic sequence, where each term changes by the same fixed amount.
Inputs and units
| Input | Example value | What to enter |
|---|---|---|
| First term | 3 | Enter a numeric value. |
| Common difference | 2 | Enter a numeric value. |
| Number of terms | 10 | Enter a numeric value. Use a whole number. Must be greater than zero. |
Worked example
Show example inputs and results
This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.
- First term
- 3
- Common difference
- 2
- Number of terms
- 10
Complete example results
- Nth term
- 21
- Sum
- 120
Reading the result
Use quantities on the same basis. The starting value in percentage change, the denominator in a ratio and the length unit in geometry determine the meaning of the answer. Check the formula conditions alongside the example.
Questions and answers
Can I use the example values for my own calculation?
The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.
Why are some results rounded?
Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.
Are my inputs sent to a server?
The calculator processes inputs in your browser. Its code does not send your values to a server.