What is a sequence?
Find the next term:
How did you find the next term? (What did you notice about the numbers?)
Graph the points:
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:
How did you find the next term? (What did you notice about the numbers?)
Graph the points
On the table you made for [7], hold down the button next to
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.
This type of sequence was exponential - and is called "geometric".
When we last did exponential we used
Now the base is called the "common ratio".
Instead of using
The geometric sequence equation is thus