Name: 
 

Chapter 8 Post Test



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

 1. 

Select the first five terms of the sequence. (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. 

Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.)

mc002-1.jpg
a.
mc002-2.jpg
b.
mc002-3.jpg
c.
mc002-4.jpg
d.
mc002-5.jpg
e.
mc002-6.jpg
 

 3. 

Find the sum.

mc003-1.jpg
a.
29
b.
85
c.
130
d.
50
e.
140
 

 4. 

Write the first five terms of the sequence. Determine whether the sequence is arithmetic. If so, find the common difference. (Assume that n begins with 1.)

mc004-1.jpg
a.
mc004-2.jpg
Not an Arithmetic sequence
b.
mc004-3.jpg
Arithmetic sequence
mc004-4.jpg
c.
mc004-5.jpg
Not an Arithmetic sequence
d.
mc004-6.jpg
Arithmetic sequence
mc004-7.jpg
e.
mc004-8.jpg
Arithmetic sequence
mc004-9.jpg
 

 5. 

Find a formula for mc005-1.jpg for the arithmetic sequence.

   mc005-2.jpg
a.
mc005-3.jpg mc005-4.jpgn mc005-5.jpg 303
b.
mc005-6.jpg mc005-7.jpg mc005-8.jpg 303n
c.
mc005-9.jpg mc005-10.jpgn mc005-11.jpg mc005-12.jpg
d.
mc005-13.jpg mc005-14.jpg mc005-15.jpg 303n
e.
mc005-16.jpg mc005-17.jpgn mc005-18.jpg mc005-19.jpg                     
 

 6. 

Write the first five terms of the arithmetic sequence.

mc006-1.jpg
a.
mc006-2.jpg
b.
mc006-3.jpg
c.
mc006-4.jpg
d.
mc006-5.jpg
e.
mc006-6.jpg
 

 7. 

Determine whether the sequence is geometric. If so, find the common ratio.

mc007-1.jpg
a.
Not a geometric sequence
b.
Geometric sequence, mc007-2.jpg
c.
Geometric sequence, mc007-3.jpg
d.
Geometric sequence, mc007-4.jpg
e.
Geometric sequence, mc007-5.jpg
 

 8. 

Write an expression for the nth term of the geometric sequence. Then find the indicated term. (Round your answer to three decimal places.)

mc008-1.jpg
a.
mc008-2.jpg, About 17.664
b.
mc008-3.jpg, About 374.123
c.
mc008-4.jpg, About 374.123
d.
mc008-5.jpg, About 374.123
e.
mc008-6.jpg, About 374.123
 

 9. 

Find the sum of the finite geometric sequence.

mc009-1.jpg
a.
3,906
b.
781
c.
2,604
d.
13,021
e.
19,531
 

 10. 

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

mc010-1.jpg
a.
mc010-2.jpg, mc010-3.jpg
b.
mc010-4.jpg, mc010-5.jpg
c.
mc010-6.jpg, mc010-7.jpg
d.
mc010-8.jpg, mc010-9.jpg
e.
mc010-10.jpg, mc010-11.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. 

Use mathematical induction to solve for all positive integers n.

A factor of mc012-1.jpg is:
a.
mc012-2.jpg
b.
mc012-3.jpg
c.
2
d.
mc012-4.jpg
e.
mc012-5.jpg
 

 13. 

Find the specified nth term in the expansion of the binomial.

mc013-1.jpg
a.
mc013-2.jpg
b.
mc013-3.jpg
c.
mc013-4.jpg
d.
mc013-5.jpg
e.
mc013-6.jpg
 

 14. 

Find the coefficient a of the term in the expansion of the binomial.
Binomial          Term
mc014-1.jpg           mc014-2.jpg
a.
mc014-3.jpg
b.
mc014-4.jpg
c.
mc014-5.jpg
d.
mc014-6.jpg
e.
mc014-7.jpg
 

 15. 

Determine the number of ways a computer can randomly generate one or more such  integers from 1 through 18.

An odd integer
a.
9
b.
13
c.
7
d.
11
e.
5
 

 16. 

A college student is preparing a course schedule for the next semester. The student may select one of four mathematics courses, one of five science courses, and one of five courses from the social sciences and humanities. How many schedules are possible?
a.
105
b.
95
c.
110
d.
100
e.
90
 

 17. 

Find the probability for the experiment of tossing a coin mc017-1.jpg times. Use the sample space

mc017-2.jpg

The probability of getting exactly two tails.
a.
mc017-3.jpg
b.
mc017-4.jpg
c.
mc017-5.jpg
d.
mc017-6.jpg
e.
mc017-7.jpg
 

 18. 

Find the probability for the experiment of tossing a coin mc018-1.jpg times. Use the sample space

mc018-2.jpg

The probability of getting exactly one head.
a.
mc018-3.jpg
b.
mc018-4.jpg
c.
mc018-5.jpg
d.
mc018-6.jpg
e.
mc018-7.jpg
 

 19. 

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

mc019-1.jpg
a.
mc019-2.jpg
b.
mc019-3.jpg
c.
mc019-4.jpg
d.
mc019-5.jpg
e.
mc019-6.jpg
 

 20. 

There were approximately 33 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 in the 45-64 age group. mc020-1.jpg
mc020-2.jpg
a.
mc020-3.jpg
b.
mc020-4.jpg
c.
mc020-5.jpg
d.
mc020-6.jpg
e.
mc020-7.jpg
 



 
Check Your Work     Start Over