Name:    Chapter 8 Pre Test

1.

Write the first five terms of the sequence defined recursively. Use the pattern to write the nth term of the sequence as a function of n. (Assume that n begins with 1.)

 a. b. c. d. e.

2.

Determine whether the sequence is arithmetic. If so, find the common difference.

 a. Arithmetic sequence, b. Arithmetic sequence, c. Arithmetic sequence, d. Arithmetic sequence, e. Not an arithmetic sequence

3.

Find a formula for for the arithmetic sequence.

 a. n b. 321n c. n 321 d. n e. 321n

4.

Find the sum of the finite arithmetic sequence.

 a. b. c. d. e.

5.

Find the sum of the finite geometric sequence. (Round your answer to three decimal places.)

 a. 3,159.318 b. 2,166.529 c. 444.180 d. 2,653.190 e. 454.104

6.

Write an expression for the nth term of the geometric sequence. Then find the indicated term.

 a. , b. , c. , d. , e. ,

7.

Determine whether the sequence is geometric. If so, find the common ratio.
2, –6, 18, –54,...
 a. 3 b. not geometric c. 2 d. –3 e.

8.

Match the geometric sequence with its graph from the choices below.

 a. d. b. e. c.

9.

Find for the given .

 a. b. c. d. e.

10.

Find for the given .

 a. b. c. d. e.

11.

Find a quadratic model for the sequence with the indicated terms.

 a. b. c. d. e.

12.

Write the first six terms of the sequence beginning with the given term. Then calculate the first and second differences of the sequence. State whether the sequence has a linear model, a quadratic model, or neither.

 a. First differences: , Second differences: , Neither b. First differences: , Second differences: , Quadratic c. First differences: , Second differences: , Linear d. First differences: , Second differences: , Neither e. First differences: , Second differences: , Quadratic

13.

Write the first six terms of the sequence beginning with the given term. Then calculate the first and second differences of the sequence. State whether the sequence has a linear model, a quadratic model, or neither.

 a. First differences: Second differences: Quadratic b. First differences: Second differences: Quadratic c. First differences: Second differences: Neither d. First differences: Second differences: Neither e. First differences: Second differences: Linear

14.

Expand the binomial by using Pascal’s Triangle to determine the coefficients.

 a. b. c. d. e.

15.

Use the Binomial Theorem to expand and simplify the expression.

 a. b. c. d. e.

16.

You are given the probability that an event will happen. Find the probability that the event will not happen.

 a. b. c. d. e.

17.

There were approximately 32 million unemployed workers in the United States. The circle graph shows the age profile of these unemployed workers. What is the probability that a person selected at random from the population of unemployed workers is 45 or older?

 a. b. c. d. e.

18.

The figure shows the results of a survey in which auto racing fans listed their favorite type of racing. What is the probability that an auto racing fan selected at random lists NASCAR racing as his or her favorite type of racing?

 a. b. c. d. e.

19.

In order to be certified, an EMT trainee (EMT stands for "emergency medical technician") must pass a written examination. A study of 60 trainees is conducted to assess the effectiveness of exam-preparation seminars in reducing the failure rate. The data are summarized below.
 0 seminars attended 1 seminar attended 2 seminars attended Total Passed exam 7 12 10 29 Failed exam 8 15 8 31 Total 15 27 18 60
Find the probability that the trainee attended one seminar and passed the exam.
 a. b. c. d. e.

20.

 a. b. c. d. e.