Sequences and Functions

Sequences

100

What type of sequence is this (arithmetic, complex, simple or geometric)?

3, 9, 27, 81, 243, ...

Geometric

200

What type of sequence is this (arithmetic, complex, simple or geometric)?

10, 4, -2, -8, -14, ...

Arithmetic

300

What is the next term of the sequence?

1, -2, 4, -8, 16, -32, ...

64 ( multiplied by -2)

400

What is the common difference?

20, 10, 0, -10, -20, ...

-10

500

What is the common ratio?

-4, -16, -64, -256, ...

4

Sequences and Algebraic Expressions

100

What is the formula we use to write an expression for an arithmetic sequence?

mn + b

200

What is the initial value of the sequence?

104, 106, 108, 110, 112, ...

102

300

What is the initial value of the sequence?

8, 17, 26, 35, 44, ...

-1

400

What is the expression that generates the following sequence?

7, 10, 13, 16, 19, ...

3n + 4

500

Which sequence would be generated by the expression:

n + 5

a.) 0, 5, 10 , 15, 20, ...

b.) 6, 7, 8, 9, 10,...

c.) 5, 25, 125, 625, 3,125

b

Function Notation

100

What is 5x + 2 in function notation?

f(x) = 5x + 2

200

What is 6 + 10k in function notation?

g(k) = 6 + 10k

300

What is 4t² - 9 written in function notation?

g(t) = 4t² - 9

400

What is 6n³ + 16 written in function notation?

f(n) = 6n³ + 16

500

What is x²/10 written in function notation?

h(x) = x²/10

Finding the values of a function

100

For f(g) = 25 - 2g, what is f(10)?

5

200

For h(w) = w² + 3, what is h(9)?

84

300

For f(n) = -3n + 2, what is the value of f(12)?

-34

400

For f(x) = -x + 1 what is f(9)?

-8

500

For g(x) = 5x + 2, what is g(-3)?

-13