Sequences & Function Notation

Arithmetic, Geometric, or Neither?

100

1,2,3...

Arithmetic

200

2, 4, 7, 11...

Neither

300

8, 10.5, 13, 15.5, ...

Arithmetic

400

-81, -27, -9, ...

Geometric

500

1/7, 3/14, 9/28, ...

Geometric

What is the Common Ratio or Common Difference?

100

1, 5, 9, 13, ...

Common Difference: 4

200

-4, -8, -16, ...

Common Ratio: 2

300

11, 7.5, 4, ...

Common Difference: -3.5

400

103, 83, 63, ...

Common Difference: -20

500

3/2, 9/4, 27/8, ...

Common Ratio: 3/2

What is the recursive definition?

100

Sequence A:

2, 6, 18, ...

A(1)=2, A(n)=3*A(n-1) for term 2 and beyond

200

Sequence B:

5, 2, -1, -4, ...

B(1)=5, B(n)=B(n-1)-3 for term 2 and beyond

300

Sequence C:

100, 50, 25, ...

C(1)=100, C(n)=1/2*C(n-1) for term 2 and beyond

400

Sequence D:

-40, -31, -22, ....

D(1)=-40, D(n)=D(n-1)+9 for term 2 and beyond

500

Sequence E:

5/3, 5/9, 5/27, ...

E(1)=5/3, E(n)=1/3*E(n-1) for term 2 and beyond

Fill in the blank

100

2, ___, 6, 8, ...

4

200

60, ____, 15, 7.5, ...

30

300

2, 4, 7, 11, ____, 22

16

400

4, 9, ____, 25, ...

16

500

4/5, ____, 1/5, 1/10, ...

*Give as a fraction

2/5 (or 4/10)

Function Notation

100

f(x)=2x - 8

f(-4)=____

-16

200

f(x)=4(x - 1)

f(3)=_____

8

300

f(x)=x²+7

f(-2)=_____

11

400

f(x) = 15(x - 1)²

f(-1)=________

60

500

Amount of $ in an account: 

f(x)=400x²+300x

f(1.08)=_____

$790.56