Arithmetic Sequence

1. Write the question in your notebook and complete what is asked in each sequence quietly.

2. Once done with the question, take out your chromebook and join in the quizizz lesson using the code at the right side of this slide.

3. No phones are allowed during the lesson. Get ready to participate.

​Bellwork

​What are the next three terms in the sequences of numbers below?

a. 3, 6, 9, 12, __, __, __

b. 10, 5, 0, __, __, __

Drag and Drop

What are the next three terms in this sequence?

3, 6, 9, 12, ​

Placeholder

, ​

Placeholder

, ​

Placeholder

Drag these tiles and drop them in the correct blank above

15

18

21

14

17

20

Drag and Drop

What are the next three terms in this sequence?

10, 5, 0, ​

Placeholder

, ​

Placeholder

, ​

Placeholder

Drag these tiles and drop them in the correct blank above

-5

-10

-15

-1

4

-11

Discussion Questions:

1. What do you notice about the two sequences? Compare the two.

2. What is the rule that creates the next term?

3. What do you call these type of sequences?

​Bellwork

​What are the next three terms in the sequences of numbers below?

a. 3, 6, 9, 12, 15, 18, 21

b. 10, 5, 0, -5, -10, -15

What is an Arithmetic Sequence?

​An arithmetic sequence is a sequence in which each term after the first is found by adding a constant (common difference) to the previous term.

Arithmetic Sequence Examples

1, 2, 3, 4, 5, ... (common difference is 1)
2, 4, 6, 8, 10, ... (common difference is 2)
5, 10, 15, 20, 25, ... (common difference is 5)
3, 7, 11, 15, 19, ... (common difference is 4) 
10, 8, 6, 4, 2, ... (common difference is -2)



Key points about arithmetic sequences: 

• Each term is found by adding a constant value (called the common difference) to the previous term.

• You can identify an arithmetic sequence by checking if the difference between any two consecutive terms is always the same.

Multiple Choice

Identify the common difference of the sequence

10, 13, 16, 19, 22, ...

• 3
• 5
• 4
• 2

Multiple Choice

What is the next term of the sequence

7, 14, 21, 28, __?

• 49
• 28
• 42
• 35

Multiple Choice

Do you consider these numbers below an arithmetic sequence?

6, 12, 15, 24, 60?

• Yes, it is an arithmetic sequence.
• No

In the sequence 5, 8, 11, 14, ..., what is the common difference? Solve for the 10th term using the formula.



I do

Where:
a_n = the nth term
a₁ = the first term
d = common difference
n = term number

​a_n = a₁ + (n-1)d

Arithmetic Sequence
General Formula

Guided Practice (5 minutes)

​Find the 7th term in the sequence where the first term is a₁=2 and the common difference is d=4.






We do (Two ways to solve)

Group Work (20 minutes)

​Group A - Complete scaffolded worksheets
Group B - Work on a worksheet involving the general formula for arithmetic sequence
Group C - Create and solve real-world problems involving arithmetic sequence

You do

Dropdown

Exit Ticket

What is the 12th term of the sequence 2, 6, 10, 14, ...?

General Formula: ​

Select answer

​ a₁₂ = ​ 2 + (​ ​

Select answer

​) ​4

a₁₂ = 2 +

Select answer

a₁₂ = ​

Select answer