The Fibonacci Sequence And The Golden Ratio Flashcards
It is a number series in which each number is obtained by adding its two preceding numbers.
The fibonacci sequence
The fibonacci sequence was named after who
Leonardo Pisano Bogollo (leonard of pisa) aka Fibonacci
This led to his discovery of the numbers in the fibonacci sequence what kind of theory is this?
The breeding of rabbits theory
It is a series of numbers in which each number is the sum of two preceding ones typically starting with what and what?
0 and 1 or 1 and 1
Give the first interesting pattern about the fibonacci sequence
Every nth fibonacci number is divisible by f (n)
Give the second interesting pattern about the fibonacci sequence
The sum of squares of two consecutive fibonacci number is also a fibonacci number
Give the third interesting pattern about the fibonacci sequence
The sum of a squares consecutive fibonacci number is a product of two consecutive fibonacci number
Give the fourth interesting pattern about the fibonacci sequence
When arranged in a certain way the fibonacci sequence creates a special spiral pattern known as the fibonacci spiral
Give the fifth interesting pattern about the fibonacci sequence
As the sequence progresses the ratio of consecutive fibonacci numbers approximates to 1.618 also known as the golden ratio
The golden ratio is also known as the blank
Golden section, golden mean, or divine proportion
It is an irrational number approximately equal to 1.618
The golden ratio
The golden ratio is named after who?
A greek sculptor phidias
What do you call the symbol of the golden ratio in the greek letter
Phi
The fibonacci spiral is also known as the?
Golden spiral
What is the value of the golden ratio?
1.6180339… or 1.618
