MATHM | The Fibonacci Sequence

• Who proposed the Fibonnaci Sequence?

  Leonardo Pisano Bogollo (1170-1250)
• Son of Bonacci

  Leonardo Pisano Bogollo
• He helped spread Hindu-Arabic Numerals (like our present numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9) through Europe in place of Roman Numerals (I, II, III, IV, V, etc).

  Leonardo
• Fibonacci is a Latin word
• series of numbers where a number is found by adding the 2 numbers before it — starting with 0 and 1

  Fibonacci Sequence
• The Fibonacci sequence was discovered after an investigation on the reproduction of rabbits
• The Fibonacci sequence is related to Pascal’s triangle in that the sum of the diagonals are equal to the corresponding Fibonacci sequence term.
• numbers in the fibonacci sequence

  Fibonacci Number
• can be written as a rule

  Fibonacci Sequence
• What formula is this?

  Binet's Formula

  
• is represented by a Greek letter called phi (𝛗/𝛟) and with a value of 1.618034

  Golden Ratio
• The Golden Ratio is also called the golden section, golden mean, golden number, divine proportion, divine section and golden proportion.