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9.1-9.3 Review

Total questions: 22

Worksheet time: 20mins

Name
Class
Date
1.

Using each digit once, how many 3 digit even numbers can be formed with the digits 4, 5 and 6?

a)

2

b)

3

c)

6

d)

4

2.

How many four-digit numbers can be formed with the digits 1, 2, 3 and 4? (you may use a digit more than once)

a)

81

b)

256

c)

24

d)

64

3.

How many different ways can the letters in the word "trial" be arranged such that the word will begin with a vowel?

a)

24

b)

48

c)

72

d)

120

4.

Evaluate

a)

A

b)

B

c)

C

d)

D

5.

Evaluate

a)

A

b)

B

c)

C

d)

D

6.

To buy a computer system, a customer can choose one of 4 monitors, one of 2 keyboards, one of 4 computers and one of 3 printers. Determine the number of possible systems that a customer can choose from.

a)

128

b)

8

c)

32

d)

96

7.

A club of 9 people wants to choose a board of three officers: President, Vice President, and Secretary. How many ways are there to choose the board from the 9 people?

a)

900

b)

810

c)

702

d)

504

8.

The soccer team has 15 players, there are 11 players on the field. How many different groups of players can be on the field at any one time?

a)

1653

b)

1356

c)

1365

d)

1635

9.

What is the Binomial expansion of (x + 1)5 ?

a)

x5 + 5x4 + 10x3 + 10x2 + 5x + 1

b)

x5 + 5x4 + 15x3 + 15x2 + 5x + 1

c)

x5 + 6x4 + 15x3 + 15x2 + 6x + 1

d)

x5 + 1

10.

What would be the 2nd term of the expansion of (y+4)4?

a)

253y

b)

16y3

c)

64y

d)

96y2

11.

What would be the 4th term of the expansion of (a+3)4?

a)

108a

b)

12a3

c)

81

d)

27a

12.

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

a)

2

b)

4

c)

6

d)

8

13.

Find the missing term in the geometric sequence: 8, 20, 50, 125, _____.

a)

75

b)

200

c)

250

d)

312.5

14.

What is the fifth term of the geometric sequence?

5, 15, 45,...

a)

135

b)

1875

c)

1215

d)

405

15.

What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?

a)

63

b)

39

c)

69

d)

36

16.

Find the 8th term of a geometric sequence for which a1=2 and r = 7?

a)

823,543

b)

11,529,602

c)

1,647,086

d)

5,764,801

17.

What is the difference between an arithmetic sequence and a geometric sequence?

a)

One is the sum of the numbers and one is just a list of numbers.

b)

One has a common difference and one has a common ratio.

c)

One you can write an nth term and one you cannot.

d)

None of these are correct.

18.

Which term is 12,288 in the sequence given by: 3, 6, 12, 24, ...

a)

11

b)

12

c)

13

d)

14

19.

Find the explicit rule for an arithmetic sequence if the 6th term is -38 and the 14th term is -110

a)

an=7-9(n-1)

b)

an=-9+7(n-1)

c)

an=-83+9(n-1)

d)

an=9-83(n-1)

20.

Does this sequence converge or diverge? {10n−62n−3}\left\{\frac{10n-6}{2n-3}\right\}  

a)

Converges to 0

b)

Converges to 2

c)

Converges to 5

d)

Diverges

21.

Does this sequence converge or diverge? 13,1,3,9,...\frac{1}{3},1,3,9,...  

a)

Converges to 0

b)

Converges to 1

c)

Converges to 3

d)

Diverges

22.

Does this sequence converge or diverge? 14,19,116,125,...\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25},...  

a)

Converges to 0

b)

Converges to 1

c)

Converges to 5

d)

Diverges