What is the Fibonacci Sequence & the Golden Ratio? Simple Explanation and Examples in Everyday Life

The video explores the Fibonacci sequence, a series of numbers where each number is the sum of the two preceding ones. It highlights the sequence's presence in nature, such as in flowers and human anatomy, and its mathematical representation. The historical context of Fibonacci's work is discussed, including his introduction of the Hindu-Arabic numeral system to Europe. The video also delves into the golden ratio, an offshoot of the Fibonacci sequence, and its applications in art, architecture, and nature.

Which of the following is a common example of Fibonacci numbers in nature?

• The number of eyes on a fish

• The number of wings on a bird

• The number of legs on an insect

• The number of petals on a flower

How is each number in the Fibonacci sequence generated?

• By adding the two preceding numbers

• By dividing the two preceding numbers

• By subtracting the two preceding numbers

• By multiplying the two preceding numbers

Who is credited with introducing the Fibonacci sequence to the Western world?

• Isaac Newton

• Leonardo da Vinci

• Leonardo Pisano (Fibonacci)

• Albert Einstein

What is the golden ratio approximately equal to?

• 2.718

• 1.414

• 3.142

• 1.618

Which of the following is an example of the golden spiral in nature?

• A square

• A triangle

• A straight line

• A seashell

Which famous artist used the golden ratio in his work 'The Sacrament of the Last Supper'?

• Pablo Picasso

• Salvador Dali

• Vincent van Gogh

• Claude Monet

Which architect is known for using the golden ratio in his modular system?

• Frank Lloyd Wright

• Le Corbusier

• I. M. Pei

• Zaha Hadid