Fibonacci and Golden Ratio Flashcards
Which of the following represents the golden ratio formula?
a. a/b = (a+b)/b
b. a/b = (a+b)/a
c. a/b = (a-b)/b
d. a/b = (a-b)/a
b. a/b = (a+b)/a
What was Fibonacci’s real name?
a) Leonardo Pisano
b) Leo Pisa
c) Leonardo da Vinci
d) Leonardo Wilhelm DiCaprio
a) Leonardo Pisano
Developed by the human mind and culture, is a formal system of thought for recognizing, classifying, and exploiting patterns.
a) Golden Ratio
b) Numbers
c) Fibonacci Number
d) Mathematics
d) Mathematics
The golden ratio ϕ is equal to
a. ϕ – 1
b. ϕ + 1
c. 1 + (1/ϕ)
d. 1 – (1/ϕ)
c. 1 + (1/ϕ)
What were some of Fibonacci’s mathematical contributions?
a) Roman Numerals and Arabic Number
b) Ten Digits and Decimal Point
c) Fibonacci Number and Golden Ratio
d) All of the above
d) All of the above
What is the approximate number for the Golden Ratio?
a) 1.1
b) 0.000465
c) 1.61913398875…
d) 1.61803398875…
d) 1.61803398875…
All of the works of Fibonacci are in there except for one.
a) Liber Abaci
b) A letter to Master
c) Floss Written
d) Pythagoras
d) Pythagoras
The golden ratio is symbolized by a Greek letter
a) Lambda
b) Alpha
c) Phi
d) Pi
c) Phi
Grew up with a North African education under Moors.
a) Leonardo Pisano
b) Jacques Philippe Marie Binet
c) Leonardo da Vinci
d) Leonardo DiCaprio
a) Leonardo Pisano
- Fibonacci spirals are claimed to appear in the arrangements and patterns of fruits, vegetables, pine cones, seed heads, and shells.
a) True
b) False
a) True
- Fibonacci was from _________.
a) Italy
b) Greece
c) Russia
d) Egypt
a) Italy
It is a set of numbers that starts with a one or zero, followed by a one, and proceeds based on the rule that each number is equal to the sum of the preceding two numbers.
a. Golden Ratio
b. Mathematics
c. Fibonacci Numbers
d. Fibonacci Sequence
d. Fibonacci Sequence
it is divided into two parts: the long part that is divided by the short part is equal to the whole length by the short part is equal to the whole length divided by the long part
a. Fibonacci Number
b. Golden Ratio
c. Number
d. Fibonacci Series
b. Golden Ratio
the process of reaching a general conclusion by examining specific examples.
a. Conjecture
b. Inductive Reasoning
c. Deductive Reasoning
b. Inductive Reasoning
a fact, name, notation, or usage which is generally agreed upon by mathematicians.
a. Mathematical convention
b. Mathematical conversion
c. Mathematics
a. Mathematical convention
It is the analog of an English sentence; it is a correct arrangement of mathematical symbols that states a complete thought.
a. Mathematical Sentence
b. Mathematical convention
c. Mathematical Expression
a. Mathematical Sentence
Characteristics of the Language of Mathematics which able to make very fine distinctions
a. Concise
b. Precise
c. Powerful
b. Precise
It is the mathematical analog of an English noun; it is a correct arrangement of mathematical symbols used to represent a mathematical object of interest.
a. Mathematical Convention
b. Mathematical Sentence
c. Mathematical Expression
c. Mathematical Expression
Characteristics of the Language of Mathematics which ability to express complex thoughts with relative ease.
a. Concise
b. Precise
c. Powerful
c. Powerful
either be true or false but not both.
a. Mathematical Sentence
b. Mathematical convention
c. Mathematical Expression
a. Mathematical Sentence
inference formed without proof or sufficient evidence (Merriam-Webster)
a. Sentence
b. Conversion
c. Conjecture
c. Conjecture
the process of reaching a conclusion by applying general assumptions procedures, or principles.
a. Inductive Reasoning
b. Conjecture
c. Deductive Reasoning
c. Deductive Reasoning
What are the Characteristics of the Language of Mathematics?
Precise, Concise, Powerful
