Number Sequence Calculator
Calculate arithmetic and geometric sequence terms and sum.
Number Sequence Calculator
Calculate arithmetic and geometric sequence terms, the nth term value, and the sum of n terms.
What is the Number Sequence Calculator and How Does It Work?
The Number Sequence Calculator generates arithmetic sequences (where each term adds a constant difference) or geometric sequences (where each term multiplies by a constant ratio), and calculates the nth term and the sum of all generated terms.
For an arithmetic sequence, each term adds a fixed common difference (d) to the previous term. For a geometric sequence, each term multiplies the previous term by a fixed common ratio (r).
Each term adds 5 to the previous one; the 10th term is 2 + (10-1)×5 = 47.
Each term doubles the previous one; the 5th term is 3 × 2⁴ = 48.
Common Real-World Use Cases
Verify arithmetic or geometric sequence terms and sums for classroom assignments.
Model compounding growth patterns (geometric) or fixed-increment savings plans (arithmetic).
Extend a numeric pattern to see what comes next and confirm the underlying rule.
- 1Choose arithmetic or geometric sequence type.
- 2Enter the first term and the common difference (arithmetic) or common ratio (geometric).
- 3Set how many terms to generate.
- 4View the full term list, the nth term value, and the sum of all generated terms.
- •A common ratio between -1 and 1 (exclusive of 0) produces a geometric sequence that shrinks toward zero.
- •A common difference of 0 produces a constant sequence where every term equals the first term.
Frequently Asked Questions
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