PM12 - Geometric Series Practice Exam

Principles of Math 12 - Geometric Series Practice Exam

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Principles of Math 12 - Geometric Series Practice Exam

Use this sheet to record your answers

1.

10.

18.

26.

NR 1)

11.

19.

27.

2.

12.

20.

28.

3.

13.

NR 4)

29.

4.

14.

21.

5.

NR 2)

22.

6.

15.

23.

7.

NR 3)

24.

8.

16.

NR 5)

9.

17.

25.

Copyright

? Barry Mabillard, 2006

Principles of Math 12 - Geometric Series Practice Exam

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Geometric Series Diploma Style Practice Exam

1.

A geometric series with a common ratio of

¡Æ( 2)

k

A.

2 is

n

n=1

¡Æ(2 + 2 )

k

B.

n

n=1

k

C.

¡Æ

2n

n =1

¡Æ ( 2 + 2 )n

k

D.

n =1

Numerical Response

9

1.

2.

The expression

¡Æ 6 ( 2)

k

has a sum of __________.

k =1

The series log 3 3 + log 3 9 + log 3 27 + log 3 81 can be expressed in sigma notation as

4

A.

¡Æ3

n

n=1

4

B.

¡Æn

n =1

4

C.

¡Æn

3

n =1

4

D.

¡Æ 3n

n =1

Principles of Math 12 - Geometric Series Practice Exam

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3.

The sum of the series

A.

B.

C.

D.

1 4 16

4096

is

+ + + .....

3 3 3

3

1600

1788.56

1820.33

1984.77

41

4.

The number of terms in the expression

¡Æ 3( 4)

k ?2

is

k = 21

A.

B.

C.

D.

5.

19

20

21

41

If the sum of the first six terms of a geometric series is 5.25, and the common

1

ratio is ? , then the first term is

2

A. -2

1

B.

2

C. 4

D. 8

6.

If the fourth term in a geometric series is

4

32

and the seventh term is

, then the

3

81

value of the common ratio is

2

3

3

B.

2

C. 2

4

D.

3

A.

Principles of Math 12 - Geometric Series Practice Exam

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Use the following information to answer the next two questions.

An amusement park ride consists of a pendulum-like basket that goes

back and forth. A swing is completed when the basket changes direction.

Riders board at the top of the swing, and the first swing has an arc length

15

of 40 m. Due to friction, each swing is

as long as the previous swing.

16

The ride ends as soon as the length of an arc is less than 21 m.

7.

The number of swings that are completed in a full ride is

A.

B.

C.

D.

8.

6

8

9

11

The total distance traveled by the basket when it comes to rest is

A.

B.

C.

D.

198 m

215 m

498 m

640 m

Principles of Math 12 - Geometric Series Practice Exam

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