Create a pattern with the rule n - 4

Verified Answer :

The pattern of rule n-4 can consist of several numbers depending on the value of n (integer, whole number, natural number or prime number)

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

operations \({\displaystyle \boxed {+}, \boxed {-}, \boxed {:}, \boxed {x}}\)

Numbers in mathematics can be divided into several terms


  • 1. integer

numbers consist of positive, negative and 0 numbers

    1. natural numbers

numbers consisting of positive numbers, starting with number 1

    1. whole number

a number consists of positive numbers and zeros

    1. prime number

numbers that can only be divided by numbers themselves and the number 1


And examples of other numbers such as imaginary numbers, real numbers, rational numbers, etc.


Integers themselves consist of

    1. positive integers

the number to the right of the number 0 is 1,2,3 ...

    1. negative integers

the numbers to the left of the zeros are -1, -2, -3 ...

    1. number 0


n-4 is an algebraic form

the pattern is generated from rule = (n-4)

There are several possible values ​​of n that can be entered to form a pattern

  • if it's an integer, the value of n = let's say -3, -2, -1,0,1,2,3

pattern = -7, -6, -5, -4, -3, -2, -1, ...

  • if it's a natural number then the value of n = let's say 1,2,3

pattern = -3, -2, -1, ...

  • if it's a whole number then the value of n = let's say 0,1,2,3

pattern = -4, -3, -2, -1, ...

  • if it's prime number then the value of n = let's say 2,3,5,7 ...

pattern = -2, -1,1,3, ....


Learn more

Express 0.000431 L answer as an integer


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type of number


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Classify the number as a natural, whole, integer, rational, or irrational.


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Keywords: natural, whole, integer, prime, number

View image ardni313

The pattern of the rule \(\left( {n - 4} \right)\) is \(\boxed{ - 4, - 3, - 2, - 1 \ldots {\text{ and }} - 3, - 2, - 1,0 \ldots }.\)


Further explanation:


Given:

The rule is \(\left( {n - 4} \right).\)


Explanation:

If n takes the value of natural numbers.


Substitute 1 for \(n\) in \(\left( {n - 4} \right).\)

\(\begin{aligned}n - 4&= 1 - 4\\&=- 3\\\end{aligned}\)


Substitute 2 for \(n\) in \(\left( {n - 4} \right).\)

\(\begin{aligned}n- 4&= 2 - 4\\&= - 2\\\end{aligned}\)


If \(n\) takes the value of whole numbers.


Substitute 0 for \(n\) in \(\left( {n - 4} \right).\)

\(\begin{aligned}n - 4&= 0 - 4\\&= - 4\\\end{aligned}\)


The pattern of the rule \(\left( {n - 4} \right)\) is \(\boxed{ - 4, - 3, - 2, - 1 \ldots {\text{ and }} - 3, - 2, - 1,0 \ldots }.\)


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3. Learn more about range and domain of the function https://brainly.com/question/3412497


Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Number System


Keywords: numbers, rule, n-4, create, pattern, irrational numbers, rational numbers, adding, subtracting, multiplication, division, decimal expansion, natural numbers