What is the importance of Fibonacci sequence in our life?
The Fibonacci sequence appears in nature, art, and architecture all around the world. It has been used in the design of the Parthenon in Greece, the Great Pyramid of Giza in Egypt, and the Taj Mahal in India. The Fibonacci sequence is also found in the spiral patterns of seashells and pinecones, and in the arrangement of leaves on a stem.The Fibonacci sequence is named after Italian mathematician Fibonacci, who first described it in the 13th century. The sequence is created by adding the two previous numbers together to create the next number in the sequence. For example, the Fibonacci sequence begins with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on.The Fibonacci sequence has many applications in mathematics, including in number theory, geometry, and algorithms. In number theory, the Fibonacci sequence can be used to calculate the greatest common divisor of two numbers. In geometry, the Fibonacci sequence can be used to create the Golden Rectangle, which is a rectangle with sides in the proportion of 1 to the Golden Ratio. The Fibonacci sequence also appears in algorithms, such as in the Fibonacci search technique.The Fibonacci sequence is also found in art and architecture. The Fibonacci sequence can be seen in the spiral patterns of seashells, pinecones, and the arrangement of leaves on a stem. The Fibonacci sequence has also been used in the design of the Parthenon in Greece, the Great Pyramid of Giza in Egypt, and the Taj Mahal in India.