MATHEMATICS IN THE MODERN WORLD

Fibonacci Sequence and Golden Ratio

100

He discovered the Fibonacci Sequence

Leonardo Fibonacci

300

Golden ratio is a special number approximately equals to what?

1.618

500

Each number in the sequence is the sum of the two numbers that precede it.

Fibonacci Sequence

800

The mathematical equation describing Fibonacci sequence is

X_n+2= X_n+1 + X_n

1000

It appears many times in geometry, art, architecture and other areas.

Golden Ratio

Mathematical Languages and symbols

100

Z = {...-3, -2, -1, 0, 1, 2, 3, ...} is a set of what?

integers

300

It is a well-defined collection of distinct objects

Set

500

The word ___ could mean equality, inequality, or member in a set

is

800

CHARACTERISTICS OF THE MATHEMATICAL LANGUAGE

• Precise, Concise, and Powerful

1000

The set of all elements. We will use the letter U to denote _______

UNIVERSAL SET

The Language of Relations and Functions

100

Each element in the domain is related to only one value in the range by some rule.

Function

300

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

Relation

500

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

800

Identify the domain the relation below:

{(-2, 3), {4, 5), (6, -5), (-2, 3)}

{-2, 4, 6}

1000

W= {(1, 2), (2, 3), (3, 4), (4, 5), relation or function?

Function

Patterns and Numbers Everywhere

100

____  are regular, repeated, and recurring forms or designs.

Patterns

300

You have to understand the pattern and cypher which image should appear next.

Matrices

500

________ do not follow a certain pattern. You must determine which shape is different from the rest in the series.

Odd one out

800

It is someone or something used as a model to make a copy, a design or an expected action.

Patterns

1000

Songs can have patterns, true or false?

True

Sequences and Series

100

Sn = n/2 (a1 + an), what formula is this?

Arithmetic series

300

In geometric series, the formula "Sn= a1 (1-r^n)/ (1-r)" is for infinite or finite series? 

For finite series

500

If the reciprocals of all the elements of a sequence form an arithmetic sequence

Harmonic sequence

800

It is said to govern the dimensions of everything from the Great Pyramid at Giza to the seashell. What sequence is this?

Fibonacci sequence

1000

3, 3, 3, 3...

What series is this?

Geometric series