3/22 - Arithmetic Sequences 2

Arithmetic Sequences

Part 2

Multiple Choice

Each individual number in a sequence of numbers is called what?

• Common difference

• Successive term

• Term

• Geometric term

Multiple Choice

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

• Common denominator

• Common opposites

• Common domain

• Common difference

Multiple Choice

The individual numbers in a sequences are called...

• Common difference

• Successive term

• Term

• Geometric term

Multiple Choice

What is the common difference?

• Arithmetic

• the value between each number in a geometric sequence.

• the first term of an arithmetic sequence

• the constant value between each number in an arithmetic sequence.

Multiple Choice

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

Multiple Choice

Which kind of sequence has a common ratio?

• Arithmetic

• Geometric

Multiple Choice

Which is one way you can find the common difference in an arithmetic sequence?

• Subtract the first term from the second term

• Subtract second term from the first term

Multiple Choice

How can you tell if a sequence is arithmetic?

• Check to see if it has numbers

• Check to see if the same number is being added every time

• Check to see if you are multiplying by the same number every time.

Multiple Choice

How can you tell if a sequence is arithmetic?

• Check to see if it has numbers

• Check to see if the same number is being added every time

• Check to see if you are multiplying by the same number every time

Multiple Choice

How can you tell if a sequence is arithmetic?

• Check to see if it has numbers

• Check to see if you are multiplying by the same number every time

• Check for a common difference

Multiple Choice

Determine if the following sequence is arithmetic or geometric.

-3, -6, -12, -24, ...

• Arithmetic

• Geometric

Multiple Choice

Determine if the following sequence is arithmetic or geometric.

1, 7, 13, 19, ...

• Arithmetic

• Geometric

Multiple Choice

Determine if the following sequence is arithmetic or geometric.

2, 5, 8, 11, 14, ...

• Arithmetic

• Geometric

Multiple Choice

Determine if the following sequence is arithmetic or geometric.

6, 30, 150, 750, ...

• Arithmetic

• Geometric

EXPLICIT FORMULAS

• Explicit Formulas define each term in a sequence directly.

• Explicit Formulas let you find any term in the sequence without knowing the value of the term before it.

• Explicit Formulas make your life easier!

Multiple Select

What does an Explicit Formula do? Check all that apply.

• help find any number in a sequence

• help find any term in a sequence

• find a term without knowing the one before it.

Arithmetic Sequences

• Press Play

• Watch and take notes

• If you don’t turn it in the highest grade you can get is an 80%, and that’s only if you get everything else correct.

Open Ended

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Arithmetic Sequences

The Explicit Formula

Multiple Choice

What does  $a_1$  stand for in the explicit formula? 

 $a_n=a_1+\left(n-1\right)d$  

• 1

• the first term

• the common difference

• the  $n^{th}$  term of the sequence

Multiple Choice

What does  $a_1$  stand for in the explicit formula? 

 $a_n=a_1+\left(n-1\right)d$  

• 1

• the first term

• the common difference

• the  $n^{th}$  term of the sequence

Multiple Choice

What does  $a_n$  stand for in the explicit formula? 

 $a_n=a_1+\left(n-1\right)d$  

• 1

• the first term

• the common difference

• the  $n^{th}$  term of the sequence

Multiple Choice

What does  $a_n$  stand for in the explicit formula? 

 $a_n=a_1+\left(n-1\right)d$  

• 1

• the first term

• the common difference

• the  $n^{th}$  term of the sequence

Multiple Choice

What does  $d$  stand for in the explicit formula? 

 $a_n=a_1+\left(n-1\right)d$  

• 1

• the first term

• the common difference

• the  $n^{th}$  term of the sequence

Multiple Choice

What does  $d$  stand for in the explicit formula? 

 $a_n=a_1+\left(n-1\right)d$  

• 1

• the first term

• the common difference

• the  $n^{th}$  term of the sequence