Number Sequence Calculator
Analyse a number sequence, identify a constant difference or ratio, and generate the requested next terms.
Runs 100% in your browser — nothing is uploaded.
Result
Formula
Arithmetic: tₙ = t₁ + (n−1)d · Geometric: tₙ = t₁·r^(n−1)
About this calculator
The UTIQO Number Sequence Calculator helps you analyze arithmetic and geometric sequences by computing the nth term, the sum of the first n terms, and the common difference or ratio. It also provides a clear step-by-step breakdown of the calculations, making it a useful tool for students, educators, and professionals working with sequence
How to use
- 1
Enter at least three sequence terms in the 'Sequence terms' field, separated by commas (e.g., 2, 4, 8, 16).
- 2
Specify how many 'Next terms to generate' you want (between 1 and 50).
- 3
Click calculate to see the sequence type and the predicted next terms.
Frequently asked questions
What is the difference between an arithmetic and a geometric sequence?
In an arithmetic sequence, each term is obtained by adding a constant difference (d) to the previous term. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio (r).
Can I use this calculator for a sequence with a common ratio of 1?
Yes, but the sum formula simplifies to Sₙ = n × a₁. The calculator will handle this case correctly.
What if I enter a non-integer n?
The calculator expects n to be a positive integer. If you enter a non-integer, it will be rounded to the nearest integer or an error will be shown, depending on the implementation.
Please note: Results are estimates for general information only and are not professional or medical/financial advice.