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Mathematics

Defined as the study of Numbers, Quantities, Shapes and Arithmetic Operations.

Sphere

A perfect geometrical object in three dimentional space such as a space of a ball

Hexagon

A two dimentional six sided closed polygon

Patterns found in nature

Waves and Dunes

Spirals

Spots and Stripes

Symmetries or symmetric figure

A figure that can be folded or divided into two with half that are the same

Reflection Symmetry

Mirror symmetry

Tranlation

We see in nature

Rotation

Rotational Pattern

Logic Pattern

Deals with the characteristics of various Objects and order

Logical Reasoning

Designed to asses a candidate ability skills

Mathematics study of patterns

Unpredictable, not repeatable, seen in seeds and trees

Pattern of movement

How humans walk from left to right continously

Pattern of rhythm

A beat that is consistent like the heart and lungs

Pattern of texture

We sense through touch

Geometric pattern

Shapes, Lines, polygon

Number Sequence

An infinite progression of a number following a pattern

Arithmetic Sequence

A sequence of numbers in which each term, after the first is obtained by adding a fixed number to a proceeding term called COMMON DIFFERENCE

Arithmetic Sequence Formula

An = A1 + ( n - 1) (d)

Geometric Sequence

A sequence of after first is obtained by multiplying the preceding term by constant called RATIO

R= a2/a1

Finding common ratio of getmetric sequence

an = a1 ( r ) ^n-1

Formula for solving geometric

N/2 ( a1 + an )

Formula of summation formula of aritmetic sequence

a1 (1-r^n) / 1-r

Geometric summation formula

Leonardo Fibibacci

He is an italian mathematician from republic of Pisa, considered to be the most talented western mathematician of the middle age from ( smith 1951 )

1.618

Golden Ratio

F(n) = (φ^n - (1 - φ)^n)

/ √5

Binet formula

∪

Union

∩

Intersection

∈

Element

∉

Not an Element

{ }

A set of

⊂

Subset

…

Ellipsis

∧

Conjunction

∨

Disjunction

~

Negation

↔

If and only if

∀

For all

∃

There exists