Nature Of Mathematics

Question 1

It is a list of things (usually numbers) that are in order.

Answer 1

Sequence

Question 2

It is made by adding the same value each time.

Answer 2

Arithmetic Sequence

Question 3

If we add or subtract the same number each time to make the sequence, it is an

Answer 3

Arithmetic Sequence

Question 4

What’s the formula of Arithmetic Sequence?

Answer 4

a1 = an + (n - 1) d

Question 5

a_{n} is the nth term / last term

a_{1} is the first term

n is the number of terms

d is the common difference

Question 6

It is made by multiplying by the same value each time

Answer 6

Geometric Sequence

Question 7

Are ordered sets of numbers that progress by multiplying or dividing each term by the same amount each time - this amount is called a common ratio.

Answer 7

Geometric Sequence (Geometric Progression)

Question 8

What’s the formula for Geometric Progression/Sequence?

Answer 8

an= a1(rn-1)

Question 9

an is the nth term

a₁ is the first term

n is the number of terms

r is the common ratio

Question 10

Is generated from a pattern of dots that forms a triangle

Answer 10

Triangular Number Sequence

Question 11

Is the representation of the numbers in the form of an equilateral triangle arranged in a series or sequence. These numbers are in a sequence of 1, 3, 6, 10, 15, 21, 28, 36, 45, and so on. The numbers in the triangular pattern are represented by dots.

Answer 11

Triangular Number Sequence

Question 12

When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a blank. So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

Answer 12

Square Number

Question 13

They are named after the Italian mathematician Leonardo of Pisa, also known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book Liber Abaci.

Answer 13

Fibonacci Sequence

Question 14

It is found by adding the two numbers before it is together.

Answer 14

Fibonacci Sequence

Question 15

Who discovered the Fibonacci Sequence?

Answer 15

Leonardo Pisano

Question 16

It is the study of relationships among numbers, quantities and shapes.

Answer 16

Mathematics

Question 17

What are the branches of Math?

Answer 17

Branches:
• Arithmetic
• Algebra
• Trigonometry
• Geometry
• Statistics
• Calculus

Question 18

Math teaches us…

Answer 18

Patience
Perseverance/Determination
Creativity
Collaboration
Reasoning
Critical Thinking

Question 19

Math helps us….

Answer 19

Helps organize patterns and regularities in the world.
Helps predict the behavior of nature and phenomena in the world.
Helps control nature and occurrences in the world for the good of mankind.
Helps students utilize, recognize and generalize patterns that exist in numbers, in shapes and in the world around them.

Question 20

Math helps us….

Answer 20

•Helps organize patterns and regularities in the world.
•Helps predict the behavior of nature and phenomena in the world.
•Helps control nature and occurrences in the world for the good of mankind.
•Helps students utilize, recognize and generalize patterns that exist in numbers, in shapes and in the world around them.

Question 21

What’s the formula for Fibonacci Sequence?

Answer 21

Fn = Fn − 1 + Fn − 2

Question 22

the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 23 = 8 or (x + 1)3.

Answer 22

Cube Number