Arithmetic Sequence Calculator
Calculate an arithmetic sequence from the first term and common difference, or from the first two terms. See the nth term, the sum of the first terms, and the generated sequence.
Arithmetic sequence means each term is found by adding the same common difference to the previous term.
What this arithmetic sequence calculator finds
English search intent for an arithmetic sequence calculator is practical: enter the first term and common difference, then get the generated terms, the nth term, and the sum of the first n terms.
- Use first term and common difference when the rule is already known.
- Use two first terms when the common difference should be inferred.
- Use the generated list to check the pattern before copying an answer.
Arithmetic sequence formulas
a_n is the nth term, a_1 is the first term, d is the common difference, and n is the term number.
S_n is the sum of the first n terms, a_1 is the first term, d is the common difference, and n is the number of terms.
d is the common difference, a_1 is the first term, and a_2 is the second term.
When to use it
| Need | Input |
|---|---|
| Generate a sequence | First term, common difference, number of terms |
| Find the nth term | First term, common difference, term number |
| Find the first n-term sum | First term, common difference, number of terms |
| Infer the common difference | First term and second term |
Frequently Asked Questions
Sources and References
- Arithmetic Sequence CalculatorArithmetic-sequence-calculator.com
- Arithmetic ProgressionWolfram MathWorld
- Arithmetic SequencesMath is Fun
Calculations are based on the listed reference sources. Links open in a new tab.
Related Tools
Find the nth term of an arithmetic sequence from the first term, common difference, and term number. The calculator also shows the substitution and a short sequence check.
Calculate the sum of the first n terms of an arithmetic series from the first term and common difference, or from the first and last terms.
Calculate a geometric sequence from the first term and common ratio, or from the first two terms. See the nth term, first n-term sum, and infinite sum when it converges.