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Arithmetic Progression Calculator

Calculate the nth term and sum of an arithmetic progression from its first term, common difference, and term count using exact integer arithmetic.

Calculate a sequence term and sum

An arithmetic progression adds the same common difference at every step. Enter an integer first term, an integer difference, and a positive term count. The calculator gives the last term, total sum, and a preview of the first 20 terms.

Formulas

For first term a, common difference d, and count n, the nth term is a + (n − 1)d. The sum is n(a + last term) / 2. For example, 3, 7, 11, … has a tenth term of 39 and a sum of 210.

Exact integers, including descending sequences

Use a negative difference for descending values or zero for a constant sequence. BigInt arithmetic keeps results exact. First term and difference accept up to 100 digits each; the term count is limited to 1,000,000,000. Decimal inputs are rejected. Only a short preview is generated, even for large counts. All calculations happen locally.

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