Enter a sequence's first term and common difference or ratio to find its nth term and the sum of its first n terms.
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In an arithmetic sequence, each term adds a fixed common difference to the previous term: nth term = first term + (n − 1) × common difference. In a geometric sequence, each term multiplies the previous term by a fixed common ratio: nth term = first term × ratio^(n − 1). The sum of terms uses the standard arithmetic or geometric series sum formula.
An arithmetic sequence adds the same amount each step (like 2, 5, 8, 11...). A geometric sequence multiplies by the same factor each step (like 2, 6, 18, 54...).
Yes, a negative common difference produces a decreasing arithmetic sequence, and a negative common ratio produces a geometric sequence that alternates sign.
Big Number Calculator
Add, subtract, multiply, divide or raise to a power very large whole numbers with full precision.
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