![]() Let us now calculate the ratio of every two successive terms of the Fibonacci sequence and see the result. The Fibonacci Spiral is shown in the image added below,Īfter studying the Fibonacci spiral we can say that every two consecutive terms of the Fibonacci sequence represent the length and breadth of a rectangle. Each quarter-circle fits perfectly within the next square in the sequence, creating a spiral pattern that expands outward infinitely. The side of the next square is the sum of the two previous squares, and so on. We start the construction of the spiral with a small square, followed by a larger square that is adjacent to the first square. Fibonacci SpiralĪ geometrical pattern derived from Fibonacci Sequence is called the Fibonacci pattern, this pattern is created by drawing a series of connected quarter-circles inside a set of squares that have their side according to the Fibonacci sequence. The first 20 terms of the Fibonacci sequence are represented in the table below,īy closely observing the table we can say that F n = F n-1 + F n-2 for every n > 1. Then the third term F 3 = F 2 + F 1 = 1 + 0 = 1 and so on. F n -2 represents the previous then previous term. ![]() F n-1 represents the previous term, and.We have observed that various things in nature follow the same Fibonacci Sequence some of the examples of the Fibonacci sequence observed in nature are,įibonacci sequence is mathematically defined as: In nature, this sequence is often observed in various phenomena, structures, and patterns. This sequence is called so because the Fibonacci sequence is easily spotted in nature such as in the spiral patterns of sunflowers, daisies, broccoli, cauliflowers, and seashells. Role of Mahatma Gandhi in Freedom Struggle.
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