Arithmetic Sequences and Functions

Which sequence is NOT an arithmetic sequence?

• -7, -13, -19, -25,...

• -10, -6, -2, 2,..

• 6, 8, 10, 12,...

• 3, 15, 75, 375,...

We will start with the explicit formula. Given the following sequence, state the first term and common difference.

Example 1:          4, 7, 10, 13, 16, …

Now, write the explicit formula for the given sequence.

Example 1:          4, 7, 10, 13, 16, …

State the common difference:

Example 2: 21, 19, 17, 15, …

Write an explicit rule to model the following sequence:

Example 2: 21, 19, 17, 15, …

Write and explicit rule to model the following sequence:

Example 3:        -12, -7, -2, …

Is the graph linear, exponential or neither?

• Linear
• Exponential
• Neither

If the sequence 4, 8, 12, 16 continues, what will be the 7^th term?

• 24

• 28

• 32

• 36

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values