Arithmetic Sequence Calculator
Find any term and the running total of an arithmetic sequence from its first term and common difference. Enter first term, common difference and…
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Find any term and the running total of an arithmetic sequence from its first term and common difference. Enter first term, common difference and term number to see nth term and sum of first n terms when you calculate.
Worked example
Example calculated from the starting values. Enter your own values and press Calculate to get your result.
With the default inputs (first term = 3, common difference = 4, term number = 10), the results are: nth term 39.0000; sum of first n terms 210.0000.
Quick reference: first term vs result
Reference table based on the example values; it is not your calculation result.
| First term | nth term | Sum of first n terms |
|---|---|---|
| 1.5 | 37.5000 | 195.0000 |
| 3 | 39.0000 | 210.0000 |
| 6 | 42.0000 | 240.0000 |
| 15 | 51.0000 | 330.0000 |
| 30 | 66.0000 | 480.0000 |
| 60 | 96.0000 | 780.0000 |
Frequently asked questions
What formula does this calculator use?
nth term = a1+(n-1) × d; Sum of first n terms = n ÷ 2 × (2 × a1+(n-1) × d). Variables: a1 = first term, d = common difference, n = term number.
What do I need to enter?
You need first term, common difference, term number. Results update as you type.
What is an example result?
With the default inputs (first term = 3, common difference = 4, term number = 10), the results are: nth term 39.0000; sum of first n terms 210.0000.
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