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.)
mc001-1.jpg
a.
mc001-2.jpg
b.
mc001-3.jpg
c.
mc001-4.jpg
d.
mc001-5.jpg
e.
mc001-6.jpg
 

 2. 

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

mc002-1.jpg
a.
Arithmetic sequence, mc002-2.jpg
b.
Arithmetic sequence, mc002-3.jpg
c.
Arithmetic sequence, mc002-4.jpg
d.
Arithmetic sequence, mc002-5.jpg
e.
Not an arithmetic sequence
 

 3. 

Find a formula for mc003-1.jpg for the arithmetic sequence.

   mc003-2.jpg
a.
mc003-3.jpg mc003-4.jpgn mc003-5.jpg mc003-6.jpg                     
b.
mc003-7.jpg mc003-8.jpg mc003-9.jpg 321n
c.
mc003-10.jpg mc003-11.jpgn mc003-12.jpg 321
d.
mc003-13.jpg mc003-14.jpgn mc003-15.jpg mc003-16.jpg
e.
mc003-17.jpg mc003-18.jpg mc003-19.jpg 321n
 

 4. 

Find the sum of the finite arithmetic sequence.

mc004-1.jpg
a.
mc004-2.jpg
b.
mc004-3.jpg
c.
mc004-4.jpg
d.
mc004-5.jpg
e.
mc004-6.jpg
 

 5. 

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

mc005-1.jpg
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.

mc006-1.jpg
a.
mc006-2.jpg, mc006-3.jpg
b.
mc006-4.jpg, mc006-5.jpg
c.
mc006-6.jpg, mc006-7.jpg
d.
mc006-8.jpg, mc006-9.jpg
e.
mc006-10.jpg, mc006-11.jpg
 

 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.
mc007-1.jpg
 

 8. 

Match the geometric sequence with its graph from the choices below.
mc008-1.jpg
a.
mc008-2.jpg
d.
mc008-5.jpg
b.
mc008-3.jpg
e.
mc008-6.jpg
c.
mc008-4.jpg
 

 9. 

Find mc009-1.jpg for the given mc009-2.jpg.

mc009-3.jpg
a.
mc009-4.jpg
b.
mc009-5.jpg
c.
mc009-6.jpg
d.
mc009-7.jpg
e.
mc009-8.jpg
 

 10. 

Find mc010-1.jpg for the given mc010-2.jpg.

mc010-3.jpg
a.
mc010-4.jpg
b.
mc010-5.jpg
c.
mc010-6.jpg
d.
mc010-7.jpg
e.
mc010-8.jpg
 

 11. 

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

mc011-1.jpg
a.
mc011-2.jpgmc011-3.jpgmc011-4.jpgmc011-5.jpg mc011-6.jpgmc011-7.jpg mc011-8.jpg mc011-9.jpg
b.
mc011-10.jpgmc011-11.jpgmc011-12.jpgmc011-13.jpg mc011-14.jpgmc011-15.jpg mc011-16.jpg mc011-17.jpg
c.
mc011-18.jpgmc011-19.jpgmc011-20.jpgmc011-21.jpg mc011-22.jpgmc011-23.jpg mc011-24.jpg mc011-25.jpg
d.
mc011-26.jpgmc011-27.jpgmc011-28.jpgmc011-29.jpg mc011-30.jpgmc011-31.jpg mc011-32.jpg mc011-33.jpg
e.
mc011-34.jpgmc011-35.jpgmc011-36.jpgmc011-37.jpg mc011-38.jpgmc011-39.jpg mc011-40.jpg mc011-41.jpg
 

 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.

mc012-1.jpg
a.
mc012-2.jpg
First differences: mc012-3.jpg, mc012-4.jpg
Second differences: mc012-5.jpg, mc012-6.jpg
Neither
b.
mc012-7.jpg
First differences: mc012-8.jpg, mc012-9.jpg
Second differences: mc012-10.jpg, mc012-11.jpg
Quadratic
c.
mc012-12.jpg
First differences: mc012-13.jpg, mc012-14.jpg
Second differences: mc012-15.jpg, mc012-16.jpg
Linear
d.
mc012-17.jpg
First differences: mc012-18.jpg, mc012-19.jpg
Second differences: mc012-20.jpg, mc012-21.jpg
Neither
e.
mc012-22.jpg
First differences: mc012-23.jpg, mc012-24.jpg
Second differences: mc012-25.jpg, mc012-26.jpg
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.

mc013-1.jpg
a.
mc013-2.jpg
First differences: mc013-3.jpg
Second differences: mc013-4.jpg
Quadratic
b.
mc013-5.jpg
First differences: mc013-6.jpg
Second differences: mc013-7.jpg
Quadratic
c.
mc013-8.jpg
First differences: mc013-9.jpg
Second differences: mc013-10.jpg
Neither
d.
mc013-11.jpg
First differences: mc013-12.jpg
Second differences: mc013-13.jpg
Neither
e.
mc013-14.jpg
First differences: mc013-15.jpg
Second differences: mc013-16.jpg
Linear
 

 14. 

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

mc014-1.jpg
a.
mc014-2.jpg
b.
mc014-3.jpg
c.
mc014-4.jpg
d.
mc014-5.jpg
e.
mc014-6.jpg
 

 15. 

Use the Binomial Theorem to expand and simplify the expression.

mc015-1.jpg
a.
mc015-2.jpg
b.
mc015-3.jpg
c.
mc015-4.jpg
d.
mc015-5.jpg
e.
mc015-6.jpg
 

 16. 

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

mc016-1.jpgmc016-2.jpg
a.
mc016-3.jpg
b.
mc016-4.jpg
c.
mc016-5.jpg
d.
mc016-6.jpg
e.
mc016-7.jpg
 

 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? mc017-1.jpg

mc017-2.jpg
a.
mc017-3.jpg
b.
mc017-4.jpg
c.
mc017-5.jpg
d.
mc017-6.jpg
e.
mc017-7.jpg
 

 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? mc018-1.jpg

mc018-2.jpg
a.
mc018-3.jpg
b.
mc018-4.jpg
c.
mc018-5.jpg
d.
mc018-6.jpg
e.
mc018-7.jpg
 

 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.
mc019-1.jpg
b.
mc019-2.jpg
c.
mc019-3.jpg
d.
mc019-4.jpg
e.
mc019-5.jpg
 

 20. 

mc020-1.jpg
a.
mc020-2.jpg
b.
mc020-3.jpg
c.
mc020-4.jpg
d.
mc020-5.jpg
e.
mc020-6.jpg
 



 
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