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.)
|
|
|
2.
|
Find the sum of the infinite series.
|
|
|
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
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.)
|
|
|
5.
|
Write the first five terms of the arithmetic
sequence.
a. |  
| b. |    ,  ,  ,  | c. |    ,  ,  ,  | d. |  , , , , | e. |   |
|
|
|
6.
|
Find the sum of the finite geometric sequence.
(Round your answer to three decimal places.)
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. |  |
|
|
|
8.
|
|
|
|
9.
|
Find the sum using the formulas for the sums of
powers of integers.
|
|
|
10.
|
Use mathematical induction to solve for all
positive integers n.
|
|
|
11.
|
Use the Binomial Theorem to expand and simplify the
expression.
|
|
|
12.
|
Expand the binomial by using Pascal’s
Triangle to determine the coefficients.
|
|
|
13.
|
Evaluate using Pascal's triangle.
|
|
|
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
|
|
|
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.
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? 
|
|
|
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  , Bachelor’s degree  ,
Advanced degree  . Find the probability that a person 25 years
or older selected at random has earned a Bachelor’s degree or higher.
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 
represents Democrat and  represents Republican.
| | Favor | Not favor | Unsure | Total | | D | 21 | 28 | 8 | 57 | | R | 29 | 10 | 4 | 43 | | Total | 50 | 38 | 12 | 100 | | | | | |
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% |
|