Fibonacci Sequence and Golden Ratio
He discovered the Fibonacci Sequence
Leonardo Fibonacci
Z = {...-3, -2, -1, 0, 1, 2, 3, ...} is a set of what?
integers
Each element in the domain is related to only one value in the range by some rule.
Function
____ are regular, repeated, and recurring forms or designs.
Patterns
Sn = n/2 (a1 + an), what formula is this?
Arithmetic series
Golden ratio is a special number approximately equals to what?
1.618
It is a well-defined collection of distinct objects
Set
The elements of the domain can be imagined as input to a machine that applies a rule to these inputs to generate one or more outputs
You have to understand the pattern and cypher which image should appear next.
In geometric series, the formula "Sn= a1 (1-r^n)/ (1-r)" is for infinite or finite series?
For finite series
Each number in the sequence is the sum of the two numbers that precede it.
Fibonacci Sequence
The word ___ could mean equality, inequality, or member in a set
is
A graph represents a function if and only if each vertical line intersects the graph at most once. What is it?
THE VERTICAL LINE TEST
________ do not follow a certain pattern. You must determine which shape is different from the rest in the series.
Odd one out
If the reciprocals of all the elements of a sequence form an arithmetic sequence
The mathematical equation describing Fibonacci sequence is
Xn+2= Xn+1 + Xn
CHARACTERISTICS OF THE MATHEMATICAL LANGUAGE
Identify the domain the relation below:
{(-2, 3), {4, 5), (6, -5), (-2, 3)}
{-2, 4, 6}
It is someone or something used as a model to make a copy, a design or an expected action.
Patterns
It is said to govern the dimensions of everything from the Great Pyramid at Giza to the seashell. What sequence is this?
Fibonacci sequence
It appears many times in geometry, art, architecture and other areas.
Golden Ratio
The set of all elements. We will use the letter U to denote _______
UNIVERSAL SET
W= {(1, 2), (2, 3), (3, 4), (4, 5), relation or function?
Function
Songs can have patterns, true or false?
True
3, 3, 3, 3...
What series is this?
Geometric series