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A particularly intriguing aspect of the Fibonacci sequence is its close relationship with the golden ratio (φ). As one progresses in the Fibonacci sequence, the ratio of consecutive Fibonacci numbers approaches the golden ratio, approximately 1.6180339887. This convergence showcases the interconnectedness of different mathematical concepts and highlights the beauty underlying mathematics.
In geometric terms, the golden ratio is often observed in nature, art, and architecture. The ratio itself is aesthetically pleasing and has been used by artists like Leonardo da Vinci and Salvador Dali in their works, further emphasizing its significance in both creative and scientific domains.