When to use this calculator
Find a term in an arithmetic sequence with a fixed common difference. Term numbers must be whole numbers; the difference can be negative.
Explore the algebra & number calculators for other questions in this topic. For a related calculation, use the Arithmetic Sequence Common Difference Calculator: Recover the fixed difference in an arithmetic sequence from two terms.
PUTTING IT INTO PRACTICE
Arithmetic Sequence: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| First term | 3 |
| Common difference | 4 |
| Term number (integer) | 10 |
| Result | 39 |
- Check the input labels and enter the example values above.
- Apply the relationship: Term = first + (n − 1) × difference.
- The result is 39 , rounded for display.
How to interpret your result
Term numbers must be whole numbers; the difference can be negative.
Identify whether the question asks for one term, a total or a count of possible selections. Sequences use a fixed difference or ratio. In counting problems, order and replacement determine the correct model.
Frequently asked questions
Do combinations and permutations count the same thing?
No. Combinations ignore the order of selection; permutations count different orders separately.
How do I use the arithmetic sequence calculator?
Enter first term, common difference, term number (integer). The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Term = first + (n − 1) × difference.
What should I check before using the result?
Term numbers must be whole numbers; the difference can be negative.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
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