Name:    PC 11 Ch1 Practice Test

Numeric Response

1.

Given the geometric sequence, what is the missing value in the middle?

2.

What is the positive geometric mean between and ?

3.

What is the common ratio of the sequence?

4.

What is the common ratio of the sequence?

s

5.

How many terms are in this sequence?

6.

The sum of the first 8 terms of a geometric series is 145 and the sum of the first 7 terms is 121.  What is the value of the 8th term?

7.

If the value of a diamond ring depreciates by 15% each year, then what is the value of the common ratio for the value of the ring for each successive year?

True/False
Indicate whether the statement is true or false.

8.

Given  the following sequences, indicate whether if it’s an arithmetic sequence.

9.

The following a geometric sequence: 1, 2, 4, 8, 16

Multiple Choice
Identify the choice that best completes the statement or answers the question.

10.

1.      A sequence is an arithmetic sequence if and only if:
a)      All the terms are positive
b)      All the terms are getting bigger
c)   All the terms have a positive difference
d) All the terms have the same difference
 a. A c. C b. B d. D

11.

How many terms are in a sequence if the first term is 14, fourth term is 38, and the last term is 190?

 a. 25 c. 27 b. 21 d. 23

12.

Given the sequence, which of the following is equations is the general term?

 a. c. b. d.

13.

What is the general term for the sequence below?
 a. c. b. d.

14.

The value of a watch appreciates by 5% each year.  If the watch was bought at \$1000, what is the value of it after 5 years?
 a. \$1276.28 c. \$5250 b. \$1215.51 d. \$1,125

15.

The value of a BMW depreciates by 30% each year after it is purchased.  If the original cost of a BMW 325x is \$80,000, how much is it worth after 10 years?
 a. \$3228.29 c. \$2259.80 b. \$0.47 d. \$1,574.64

16.

What is the geometric mean between and ?
 a. 4 c. 12 b. -12 d.

17.

A rubber ball is dropped from a height of 10m.  After each bounce, the ball returns to 57% of its previous height.  After how many bounces will the ball bounce less than ½ a meter?
 a. 5 bounces c. 7 bounces b. 6 bounces d. 8 bounces