Module 1: Lesson 2 - The Fibonacci Sequence and the Golden Ratio

The golden ratio and the Fibonacci sequence can be found in...

(in flowers, leaves, and some plants), in the human body, (In arts and designs)

What is the ratio of the golden ratio?

1 : 1.618

What is the value of the golden ratio/mean?

1.618 or 1.61804...

A formula that is used to find the nth term of the Fibonacci sequence (preferred for finding higher terms)

Binet's Formula

Without the use of equations, how do you get the next term in the Fibonacci sequence?

By adding the last two terms

What is the name of the three dots (...) after the number 89 in sequence?

Ellipsis

Sometimes called the divine proportion, is an irrational number that possess unusual properties

Golden ratio

The Binet's formula was named after a mathematician named...

Jacques Philippe Marie Binet

The Fibonacci sequence is named after a mathematician who stumbled it in the 12th century...

Leonardo Fibonacci

A book written by Leonardo Fibonacci, which contained the example of the pair or rabbits in explaining the Fibonacci sequence.

Liber Abaci

The golden ratio is also denoted with a sign, which is called...

Phi (Φ)

This number sequence is an example of (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...)

The Fibonacci Sequence

The ellipsis means that?

The pattern continues without end

What are the names of the two formulas that is being used to find a Fibonacci number?

The recurrence relation/recursive formula (for the Fibonacci sequence) and the Binet's formula

What is the name of the equation that is used to find the Fibonacci number (in lower terms)?

the recurrence relation/recursive formula (for the Fibonacci sequence)