Functions and Arithmetic Sequences

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

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Give the range of the set of ordered pairs: (2, 11), (9, -3), (7, 21), (-8, 6)

• {2, 9, 7, -8}

• {11, -3, 21, 6}

• -8 < x < 9

• -3 < y < 21

What is a formula for the nth term in the sequence 12, 20, 28, ...?

What is a formula for the nth term in the sequence -4, -9, -14, ...?

Which is a *recursive rule* for the nth term in the sequence 15, 8, 1, ...?

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Find the 75th term of the arithmetic sequence -17, -13, 9, ...

Find the 63rd term of the arithmetic sequence -1, 5, 11, ...

Which of the following is the common difference of the given arithmetic sequence:

16, 8, 0, –8, –16, . . . ?

• -9

• -8

• -7

• -6