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First Five Terms: −4, 3, 10, 17, 24

First Five Terms: −35, −135, −235, −33…

First Five Terms: −9.2, −11.3, −13.4,…

First Five Terms:... 15/8, 19/8, 23/8, 27…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

First Five Terms: −4, 3, 10, 17, 24

Given the explicit formula for an arithmetic sequence find th…

First Five Terms: −35, −135, −235, −33…

Given the explicit formula for an arithmetic sequence find th…

sequence

arithmetic sequence

Arithmetic Means

term number

number pattern

a numerical pattern that adds or subtracts at a constant rate…

The missing terms in an arithmetic sequence.

The order number in which the term falls in the ... sequence (x)

sequence

number pattern

arithmetic sequence

a numerical pattern that adds or subtracts at a constant rate…

Find the next three terms of the seque…

Find the next three terms of the seque…

-31 is what term of the sequence: 98,…

197 is what term of the sequence: 53,…

-7, 1, 9

-15, -95, -175

-31 is the 44th term

197 is the 25th term

Find the next three terms of the seque…

-7, 1, 9

Find the next three terms of the seque…

-15, -95, -175

First Five Terms: −4, 3, 10, 17, 24

First Five Terms: −35, −135, −235, −33…

First Five Terms: −9.2, −11.3, −13.4,…

First Five Terms:... 15/8, 19/8, 23/8, 27…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

First Five Terms: −4, 3, 10, 17, 24

Given the explicit formula for an arithmetic sequence find th…

First Five Terms: −35, −135, −235, −33…

Given the explicit formula for an arithmetic sequence find th…

First Five Terms: −4, 3, 10, 17, 24

First Five Terms: −35, −135, −235, −33…

First Five Terms: −9.2, −11.3, −13.4,…

First Five Terms:... 15/8, 19/8, 23/8, 27…

Given the explicit formula for an arithmetic sequence, find t…

Given the explicit formula for an arithmetic sequence, find t…

Given the explicit formula for an arithmetic sequence, find t…

Given the explicit formula for an arithmetic sequence, find t…

First Five Terms: −4, 3, 10, 17, 24

Given the explicit formula for an arithmetic sequence, find t…

First Five Terms: −35, −135, −235, −33…

Given the explicit formula for an arithmetic sequence, find t…

First Five Terms: −4, 3, 10, 17, 24

First Five Terms: −35, −135, −235, −33…

First Five Terms: −9.2, −11.3, −13.4,…

First Five Terms:... 15/8, 19/8, 23/8, 27…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

First Five Terms: −4, 3, 10, 17, 24

Given the explicit formula for an arithmetic sequence find th…

First Five Terms: −35, −135, −235, −33…

Given the explicit formula for an arithmetic sequence find th…

constant of proportionality

direct variation

terms of sequence

common difference

also called constant rate of change

a linear function defined by an equation of the form y=kx

set of numbers in a sequence

The difference between the successive terms of an arithmetic…

constant of proportionality

also called constant rate of change

direct variation

a linear function defined by an equation of the form y=kx

Common Difference

Initial Value

recursion formula

function formula (explicit)

d... The difference between 2 consecutive terms in a sequence

t1... The first term in a sequence

tn = tn-1 +d... used to find the next term by applying the commo…

tn = t1 +d(n-1)... the equation used to find any term in the seq…

Common Difference

d... The difference between 2 consecutive terms in a sequence

Initial Value

t1... The first term in a sequence

Find the next three terms in the seque…

Find the next three terms in the seque…

Find the common difference in the sequ…

Find the common difference:... 16, 25, 34…

19, 23, 27

-11, -16, -21

-7

9

Find the next three terms in the seque…

19, 23, 27

Find the next three terms in the seque…

-11, -16, -21

Find the next three terms in the seque…

Find the next three terms in the seque…

Find the common difference in the sequ…

Find the common difference:... 16, 25, 34…

19, 23, 27

-11, -16, -21

-7

9

Find the next three terms in the seque…

19, 23, 27

Find the next three terms in the seque…

-11, -16, -21

sequence

arithmetic sequence

term

consecutive terms

number pattern

a numerical pattern that adds or subtracts at a constant rate…

Each number in the sequence

a term directly after another term

sequence

number pattern

arithmetic sequence

a numerical pattern that adds or subtracts at a constant rate…

Initial term

Common difference

Sequence

Term

The first number in the sequence

the fixed amount added on to get to the next term in an arith…

a set of numbers that follow a pattern, with a specific first…

an individual quantity or number in a sequence

Initial term

The first number in the sequence

Common difference

the fixed amount added on to get to the next term in an arith…

19, 23, 27

-11, -16, -21

-7

9

Find the next three terms in the sequence: 3, 7, 11, 15, ...

Find the next three terms in the sequence: 4, -1, -6, ...

Find the common difference in the sequence: 10, 3, -4, -11, ...

Find the common difference:... 16, 25, 34, ..

19, 23, 27

Find the next three terms in the sequence: 3, 7, 11, 15, ...

-11, -16, -21

Find the next three terms in the sequence: 4, -1, -6, ...

arithmetic sequence

common difference

Find the common difference:... 16, 25, 34…

Find the common difference in the sequ…

a numerical pattern that adds or subtracts at a constant rate…

the difference between any two consecutive terms in an arithm…

9

-7

arithmetic sequence

a numerical pattern that adds or subtracts at a constant rate…

common difference

the difference between any two consecutive terms in an arithm…

sequence

arithmetic sequence

term number

term

number pattern

a numerical pattern that adds or subtracts at a constant rate…

The order number in which the term falls in the ... sequence (x)

Each number in the sequence (y) or f(x)

sequence

number pattern

arithmetic sequence

a numerical pattern that adds or subtracts at a constant rate…

consecutive terms

common difference

arithmetic sequence

Find the next three terms in the seque…

a term directly after another term

the difference between any two consecutive terms in an arithm…

a numerical pattern that adds or subtracts at a constant rate…

19, 23, 27

consecutive terms

a term directly after another term

common difference

the difference between any two consecutive terms in an arithm…

Find the next three terms in the seque…

Find the next three terms in the seque…

Find the common difference in the sequ…

Find the common difference:... 16, 25, 34…

19, 23, 27

-11, -16, -21

-7

9

Find the next three terms in the seque…

19, 23, 27

Find the next three terms in the seque…

-11, -16, -21

4

-29

610

200

What is the common difference of the sequence 3, 7, 11, 15,...?

Find u₂₀ for the sequence 9, 7, 5, 3, ...

Find the sum of the first 10 terms of the sequence 2, 5, 8, 11

The first term of an arithmetic sequence is 2 and the common…

4

What is the common difference of the sequence 3, 7, 11, 15,...?

-29

Find u₂₀ for the sequence 9, 7, 5, 3, ...

sequence

arithmetic sequence

term number

term

number pattern

a numerical pattern that adds or subtracts at a constant rate…

The order number in which the term falls in the ... sequence (x)

Each number in the sequence (y) or f(x)

sequence

number pattern

arithmetic sequence

a numerical pattern that adds or subtracts at a constant rate…

sequence

arithmetic sequence

Arithmetic Means

term number

number pattern

a numerical pattern that adds or subtracts at a constant rate…

The missing terms in an arithmetic sequence.

The order number in which the term falls in the ... sequence (x)

sequence

number pattern

arithmetic sequence

a numerical pattern that adds or subtracts at a constant rate…

What are the missing numbers? 8,__,__,29

a numerical pattern that adds or subtr…

the difference between any two consecu…

Find the common difference:... 16, 25, 34…

15,22

arithmetic sequence

common difference

9

What are the missing numbers? 8,__,__,29

15,22

a numerical pattern that adds or subtr…

arithmetic sequence

Find the next three terms in the seque…

Find the next three terms in the seque…

Find the common difference in the sequ…

Find the common difference:... 16, 25, 34…

19, 23, 27

-11, -16, -21

-7

9

Find the next three terms in the seque…

19, 23, 27

Find the next three terms in the seque…

-11, -16, -21

numbers in order from least to greates…

a numerical pattern that adds or subtr…

Each number in the sequence

the difference between any two consecu…

sequence

arithmetic sequence

term

common difference

numbers in order from least to greates…

sequence

a numerical pattern that adds or subtr…

arithmetic sequence

Good morning students.

How are you?

Today we are going to learning about "…

Student , are you ready?

สวัสดีตอนเช้านักเรียนทุกคน

คุณเป็นอย่างไรบ้าง

วันนี้เราจะเรียนเรื่องเกี่ยวกับลำดับเลขคณิต

นักเรียนพร้อมหรือยัง?

Good morning students.

สวัสดีตอนเช้านักเรียนทุกคน

How are you?

คุณเป็นอย่างไรบ้าง

a numerical pattern that adds or subtr…

the difference between any two consecu…

9

-7

arithmetic sequence

common difference

Find the common difference:... 16, 25, 34, ..

Find the common difference in the sequence: 10, 3, -4, -11, ...

a numerical pattern that adds or subtr…

arithmetic sequence

the difference between any two consecu…

common difference

a numerical pattern that adds or subtr…

the difference between any two consecu…

9

-7

arithmetic sequence

common difference

Find the common difference:... 16, 25, 34, ..

Find the common difference in the sequence: 10, 3, -4, -11, ...

a numerical pattern that adds or subtr…

arithmetic sequence

the difference between any two consecu…

common difference

Good afternoon students.

How are you?

Today we are going to learning about "…

Student , are you ready?

สวัสดีตอนบ่ายนักเรียนทุกคน

คุณเป็นอย่างไรบ้าง

วันนี้เราจะเรียนเรื่องเกี่ยวกับลำดับเลขคณิต

นักเรียนพร้อมหรือยัง?

Good afternoon students.

สวัสดีตอนบ่ายนักเรียนทุกคน

How are you?

คุณเป็นอย่างไรบ้าง

Good morning students.

How are you?

Today we are going to learning about "…

Student , are you ready?

สวัสดีตอนเช้านักเรียนทุกคน

คุณเป็นอย่างไรบ้าง

วันนี้เราจะเรียนเรื่องเกี่ยวกับลำดับเลขคณิต

นักเรียนพร้อมหรือยัง?

Good morning students.

สวัสดีตอนเช้านักเรียนทุกคน

How are you?

คุณเป็นอย่างไรบ้าง

a numerical pattern that adds or subtr…

the difference between any two consecu…

9

-7

arithmetic sequence

common difference

Find the common difference:... 16, 25, 34, ..

Find the common difference in the sequence: 10, 3, -4, -11, ...

a numerical pattern that adds or subtr…

arithmetic sequence

the difference between any two consecu…

common difference

Arithmetic Sequence... Common difference…

Arithmetic Sequence... Common difference…

Geometric Sequence... Common ratio of 1/3

Geometric Sequence... Common ratio of 1/4

Is the following a geometric or and arithmetic sequence? Name…

Is the following a geometric or and arithmetic sequence? Name…

Is the following a geometric or and arithmetic sequence? Name…

Is the following a geometric or and arithmetic sequence? Name…

Arithmetic Sequence... Common difference…

Is the following a geometric or and arithmetic sequence? Name…

Arithmetic Sequence... Common difference…

Is the following a geometric or and arithmetic sequence? Name…

Initial term

Common difference

Sequence

Term

The first number in the sequence

the fixed amount added on to get to the next term in an arith…

a set of numbers that follow a pattern, with a specific first…

an individual quantity or number in a sequence

Initial term

The first number in the sequence

Common difference

the fixed amount added on to get to the next term in an arith…

Inductive Reasoning

Conjective

Sequence

Term

Conclusions based on the patters you observe

A conclusion you reach by inductive reasoning

Number Pattern

Numbers in the sequence

Inductive Reasoning

Conclusions based on the patters you observe

Conjective

A conclusion you reach by inductive reasoning

sequence

terms

arithmetic sequence

common difference

a__________ is a set of numbers in a specific order

the numbers in the sequence are called __________

if the difference between successive terms is constant then i…

the difference between the terms is called the _______ ______…

sequence

a__________ is a set of numbers in a specific order

terms

the numbers in the sequence are called __________

Arithmetic Sequence

A sequence can appear in multiple forms.

A recursive process requires the use o…

The word "recursive" contains the pref…

a list of numbers, called terms, which share a common differe…

The most common is a list of terms; however, other ways to di…

Ex: Using the recursive process an = an - 1 + 2 we can find t…

A recursive process is where each term must be known and the…

Arithmetic Sequence

a list of numbers, called terms, which share a common differe…

A sequence can appear in multiple forms.

The most common is a list of terms; however, other ways to di…

sequence

arithmetic sequence

Arithmetic Means

term number

number pattern

a numerical pattern that adds or subtracts at a constant rate…

The missing terms in an arithmetic sequence.

The order number in which the term falls in the ... sequence (x)

sequence

number pattern

arithmetic sequence

a numerical pattern that adds or subtracts at a constant rate…

arithmetic sequence

common difference

sequence

term

a sequence in which a fixed amount is added on to get the nex…

the fixed amount added on to get to the next term in an arith…

a set of numbers that follow a pattern, with a specific first…

an individual quantity or number in a sequence

arithmetic sequence

a sequence in which a fixed amount is added on to get the nex…

common difference

the fixed amount added on to get to the next term in an arith…

arithmetic sequence

explicit formula

recursive formula

arithmetic sequences linking to equal…

the difference between one term and the next is constant

f(n)=f(1)+(n-1)d

f(n)=f(n-1)+d

equal differences

arithmetic sequence

the difference between one term and the next is constant

explicit formula

f(n)=f(1)+(n-1)d

Write an equation for the nth term of…

Write an equation for the nth term of…

Write an equation for the nth term of…

Write an equation for the nth term of…

a = 3n + 5

a = -5n + 4

a = 10n - 9

a = 5n - 20

Write an equation for the nth term of…

a = 3n + 5

Write an equation for the nth term of…

a = -5n + 4

First Five Terms: −4, 3, 10, 17, 24

First Five Terms: −35, −135, −235, −33…

First Five Terms: −9.2, −11.3, −13.4,…

First Five Terms:... 15/8, 19/8, 23/8, 27…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

Given the explicit formula for an arithmetic sequence find th…

First Five Terms: −4, 3, 10, 17, 24

Given the explicit formula for an arithmetic sequence find th…

First Five Terms: −35, −135, −235, −33…

Given the explicit formula for an arithmetic sequence find th…