Number Sequence Calculator
Arithmetic Sequence Calculator
definition: aₙ = a₁ + f × (n-1)
Example: 1, 3, 5, 7, 9, 11, 13, …
Geometric Sequence Calculator
definition: aₙ = a × rⁿ⁻¹
Example: 1, 2, 4, 8, 16, 32, 64, 128, …
Fibonacci Sequence Calculator
definition: a₀=0; a₁=1; aₙ = aₙ₋₁ + aₙ₋₂;
Example: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, …
Number Sequence Calculator
A powerful and intuitive tool designed to generate and analyze three fundamental mathematical sequences:
- Arithmetic Sequence – Calculates terms based on a starting value and a common difference (e.g., 2, 5, 8, 11, …).
- Geometric Sequence – Computes terms using an initial value and a common ratio (e.g., 3, 6, 12, 24, …).
- Fibonacci Sequence – Generates the famous sequence where each term is the sum of the two preceding ones (e.g., 0, 1, 1, 2, 3, 5, 8, …).
Features:
✔ Easy Input – Enter the required values (first term, common difference/ratio, or desired term position).
✔ Instant Results – Displays the generated sequence, the nth term, and the sum up to that term.
✔ Mathematical Definitions – Clear formulas and examples for each sequence type.
✔ Visual Appeal – Sleek gradient background (white to purple) with a clean, responsive layout.
Perfect for students, teachers, and math enthusiasts to explore number patterns, verify calculations, or learn sequence properties interactively!
🔢 Try it now and uncover the beauty of number sequences!