155 Sequences

An introduction to Sequences

1

What is a sequence?

Common type of sequence #1:

1

Find the next term: 8, 14, 20, ...

1

How did you find the next term? (What did you notice about the numbers?)

1

Graph the points: \{(1,8), (2,14), (3,20)...\}
1. Hit the +
2. choose the table

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

1

What do you notice about the graph?

1

Use what you noticed to write an equation that represents the numbers in the list.

1

Use your equation to find the 52nd term in the list.

1

This type of sequeence was linear - and is called "arithmetic"
Create your own arithmetic sequence.

1

The number you add each time is called the "common difference".
What number did you add in your sequence?
Graph your sequence (in a table, use the "+").
How does the common difference relate to the line that is graphed?

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

1

Write the equation for your sequence.

Common type of sequence #2:

1

Find the next term: 256, 64, 16, 4, ...

1

How did you find the next term? (What did you notice about the numbers?)

1

Graph the points \{(1,256), (2,64), (3,16), ...)\}

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

1

On the table you made for [7], hold down the button next to y_1.
Toggle over the slide next to "line" to turn it on.
What do you notice about the graph?

1

Use what you noticed to write an equation that represents the numbers in the list.

1

Use your equation to find the 15th term in the list.
Write your answer as a fraction.

This type of sequence was exponential - and is called "geometric".
When we last did exponential we used  y=a(b)^x.

Now the base is called the "common ratio".

Instead of using a  (the inital value or y-intercept), we will use the first value = a_1. 

1

The geometric sequence equation is thus
y=

Between today and tomorrow, you can do the first five sections of DeltaMath.

155 Sequences

An introduction to Sequences

What is a sequence?

Find the next term: 8, 14, 20, ...

How did you find the next term? (What did you notice about the numbers?)

Graph the points: \{(1,8), (2,14), (3,20)...\}1. Hit the +2. choose the table

What do you notice about the graph?

Use what you noticed to write an equation that represents the numbers in the list.

Use your equation to find the 52nd term in the list.

This type of sequeence was linear - and is called "arithmetic"Create your own arithmetic sequence.

The number you add each time is called the "common difference". What number did you add in your sequence? Graph your sequence (in a table, use the "+"). How does the common difference relate to the line that is graphed?

Write the equation for your sequence.

Find the next term: 256, 64, 16, 4, ...

How did you find the next term? (What did you notice about the numbers?)

Graph the points \{(1,256), (2,64), (3,16), ...)\}

On the table you made for [7], hold down the button next to y_1.Toggle over the slide next to "line" to turn it on.What do you notice about the graph?

Use what you noticed to write an equation that represents the numbers in the list.

Use your equation to find the 15th term in the list.Write your answer as a fraction.

The geometric sequence equation is thusy=

An introduction to Sequences

What is a sequence?

Find the next term: 8, 14, 20, ...

How did you find the next term? (What did you notice about the numbers?)

Graph the points: \{(1,8), (2,14), (3,20)...\}1. Hit the +2. choose the table

What do you notice about the graph?

Use what you noticed to write an equation that represents the numbers in the list.

Use your equation to find the 52nd term in the list.

This type of sequeence was linear - and is called "arithmetic"Create your own arithmetic sequence.

The number you add each time is called the "common difference". What number did you add in your sequence? Graph your sequence (in a table, use the "+"). How does the common difference relate to the line that is graphed?

Write the equation for your sequence.

Find the next term: 256, 64, 16, 4, ...

How did you find the next term? (What did you notice about the numbers?)

Graph the points \{(1,256), (2,64), (3,16), ...)\}

On the table you made for [7], hold down the button next to y_1.Toggle over the slide next to "line" to turn it on.What do you notice about the graph?

Use what you noticed to write an equation that represents the numbers in the list.

Use your equation to find the 15th term in the list.Write your answer as a fraction.

The geometric sequence equation is thusy=

Graph the points: \{(1,8), (2,14), (3,20)...\}
1. Hit the +
2. choose the table

This type of sequeence was linear - and is called "arithmetic"
Create your own arithmetic sequence.

The number you add each time is called the "common difference".
What number did you add in your sequence?
Graph your sequence (in a table, use the "+").
How does the common difference relate to the line that is graphed?

On the table you made for [7], hold down the button next to y_1.
Toggle over the slide next to "line" to turn it on.
What do you notice about the graph?

Use your equation to find the 15th term in the list.
Write your answer as a fraction.

The geometric sequence equation is thus
y=

Graph the points: \{(1,8), (2,14), (3,20)...\}
1. Hit the +
2. choose the table

This type of sequeence was linear - and is called "arithmetic"
Create your own arithmetic sequence.

The number you add each time is called the "common difference".
What number did you add in your sequence?
Graph your sequence (in a table, use the "+").
How does the common difference relate to the line that is graphed?

On the table you made for [7], hold down the button next to y_1.
Toggle over the slide next to "line" to turn it on.
What do you notice about the graph?

Use your equation to find the 15th term in the list.
Write your answer as a fraction.

The geometric sequence equation is thus
y=