Fibonacci Sequence Calculator

The Fibonacci sequence is defined by starting with 1, 1, and each subsequent term being the sum of the two preceding terms (F(n) = F(n-1) + F(n-2)). This sequence appears throughout nature in spiral structures, petal counts, pinecone patterns, and many other phenomena.

The ratio of consecutive terms converges to the golden ratio (φ ≈ 1.6180339887...) as the sequence progresses. This convergence property is one of the most beautiful features of Fibonacci numbers and is applied in art, architecture, and design.

This tool generates the Fibonacci sequence for your specified number of terms, displaying each term's value, the ratio to its predecessor, and the convergence percentage to the golden ratio in real-time. Using BigInt arithmetic, it accurately handles extremely large numbers. Results can be exported as CSV for further data analysis and spreadsheet processing.

Perfect for math education, programming practice, Fibonacci number research, statistical analysis, and various other applications.