Name: 
 

Chapter 8 Pre 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. 

Find the sum of the infinite series.

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

 3. 

A deposit of $ 5000 is made in an account that earns 5 % interest compounded monthly. The balance in the account after n months is given by
mc003-1.jpg
Find the balance in the account after 7 years by finding the 84th term of the sequence. Round to the nearest penny.
a.
$ 301,211.21
b.
$ 7119.72
c.
$ 421,750.00
d.
$ 7060.76
e.
$ 7090.18
 

 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
Arithmetic sequence
mc004-3.jpg
b.
mc004-4.jpg
Arithmetic sequence
mc004-5.jpg
c.
mc004-6.jpg
Arithmetic sequence
mc004-7.jpg
d.
mc004-8.jpg
Arithmetic sequence
mc004-9.jpg
e.
mc004-10.jpg
Arithmetic sequence
mc004-11.jpg
 

 5. 

Write the first five terms of the arithmetic sequence.

mc005-1.jpg
a.
mc005-2.jpg mc005-3.jpg                         
b.
mc005-4.jpgmc005-5.jpgmc005-6.jpg,mc005-7.jpgmc005-8.jpg,mc005-9.jpgmc005-10.jpg,mc005-11.jpgmc005-12.jpg
c.
mc005-13.jpgmc005-14.jpg mc005-15.jpg,mc005-16.jpgmc005-17.jpg,mc005-18.jpgmc005-19.jpg,mc005-20.jpgmc005-21.jpg
d.
mc005-22.jpg,mc005-23.jpg,mc005-24.jpg,mc005-25.jpg,mc005-26.jpg
e.
mc005-27.jpg mc005-28.jpg
 

 6. 

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

mc006-1.jpg
a.
1,021.735
b.
4,874.690
c.
7,108.465
d.
999.405
e.
5,969.678
 

 7. 

Determine whether the sequence is geometric. If so, find the common ratio.
4, 12, 36, 108,...
a.
–3
b.
not geometric
c.
4
d.
3
e.
mc007-1.jpg
 

 8. 

Find mc008-1.jpg for the given mc008-2.jpg.

mc008-3.jpg
a.
mc008-4.jpg
b.
mc008-5.jpg
c.
mc008-6.jpg
d.
mc008-7.jpg
e.
mc008-8.jpg
 

 9. 

Find the sum using the formulas for the sums of powers of integers.

mc009-1.jpg
a.
mc009-2.jpg
b.
mc009-3.jpg
c.
mc009-4.jpg
d.
mc009-5.jpg
e.
mc009-6.jpg
 

 10. 

Use mathematical induction to solve for all positive integers n.

mc010-1.jpg
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
mc010-5.jpg
e.
mc010-6.jpg
 

 11. 

Use the Binomial Theorem to expand and simplify the expression.

mc011-1.jpg
a.
mc011-2.jpg
b.
mc011-3.jpg
c.
mc011-4.jpg
d.
mc011-5.jpg
e.
mc011-6.jpg
 

 12. 

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

mc012-1.jpg
a.
mc012-2.jpg
b.
mc012-3.jpg
c.
mc012-4.jpg
d.
mc012-5.jpg
e.
mc012-6.jpg
 

 13. 

Evaluate using Pascal's triangle.

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

 14. 

Determine the number of ways a computer can randomly generate one or more such  integers from 1 through 20.

Two distinct integers whose sum is 18
a.
16
b.
20
c.
18
d.
12
e.
14
 

 15. 

How many three-digit numbers can be formed under following condition?

The number is at least 800.
a.
200
b.
210
c.
180
d.
190
e.
220
 

 16. 

How many four-digit numbers can be formed under following condition?

The leading digit cannot be zero and the number must be less than 6000.
a.
4,900
b.
4,800
c.
4,700
d.
5,000
e.
4,600
 

 17. 

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

mc017-1.jpg
a.
0.69
b.
0.7
c.
0.68
d.
0.37
e.
0.63
 

 18. 

There were approximately 40 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? 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. 

The educational attainment of the United States population age 25 years or older in 2007 is shown in the circle graph. Use the fact that the population of people 25 years or older was
approximately 6.4 million in 2007 and Associate’s degree mc019-1.jpg, Bachelor’s degree mc019-2.jpg, Advanced degree mc019-3.jpg. Find the probability that a person 25 years or older selected at random has earned a Bachelor’s degree or higher.

mc019-4.jpg
a.
1.31
b.
4.31
c.
2.31
d.
3.31
e.
0.31
 

 20. 

One hundred college students were interviewed to determine their political party affiliations
and whether they favored a balanced-budget amendment to the Constitution. The results of the study are listed in the table, where mc020-1.jpg represents Democrat and mc020-2.jpg represents Republican.

 FavorNot favorUnsureTotal
D2128857
R2910443
Total503812100

A person is selected at random from the sample. Find the probability that the described person is selected.
A Democrat who favors the amendment.
a.
21%
b.
26%
c.
27%
d.
24%
e.
23%
 



 
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