Question 1

Write out the first five terms of the sequence.
-$$\mathrm { a } _ { \mathrm { n } } = \mathrm { n } - 4$$

Accepted Answer

A)  $- 1,0,1,2,3$ 
B)  $- 3 , - 2 , - 1,0,1$ 
C)  $- 4 , - 3 , - 2 , - 1,0$ 
D)  $- 16 , - 12 , - 8 , - 4,0$ 
A)  $- 1,0,1,2,3$ 
B)  $- 3 , - 2 , - 1,0,1$ 
C)  $- 4 , - 3 , - 2 , - 1,0$ 
D)  $- 16 , - 12 , - 8 , - 4,0$

Question 2

List the elements in the sample space of the experiment.
-A box contains 13 white cards numbered 1 through 13. List the sample space of the event choosing one card with a number greater than 6.

Accepted Answer

A)  {7, 8, 9, 10, 11, 12, 13} 
B)  {11} 
C)  {1, 2, 3, . . . 13} 
D)  {6, 7, 8, 9, 10, 11, 12, 13} 
A)  {7, 8, 9, 10, 11, 12, 13} 
B)  {11} 
C)  {1, 2, 3, . . . 13} 
D)  {6, 7, 8, 9, 10, 11, 12, 13}

Question 3

Solve the problem.
-What are the odds in favor of drawing a 1 from these cards?

Accepted Answer

A)  1 to 4 
B)  4 to 1 
C)  1 to 5 
D)  5 to 1 
A)  1 to 4 
B)  4 to 1 
C)  1 to 5 
D)  5 to 1

Question 4

Evaluate the series, if it converges.
-$$9 + \frac { 18 } { 5 } + \frac { 36 } { 25 } + \frac { 72 } { 125 } + \ldots$$

Accepted Answer

A)  15 
B)  $\frac { 5 } { 3 }$ 
C)  6 
D)  Does not converge 
A)  15 
B)  $\frac { 5 } { 3 }$ 
C)  6 
D)  Does not converge

Question 5

Evaluate the sum. Round to two decimal places, if necessary.
-$\sum _ { i = 2 } ^ { 5 } \frac { 6 } { i }$

Accepted Answer

A)  $301.2$ 
B)  $7.7$ 
C)  $5.63$ 
D)  $- 1.7$ 
A)  $301.2$ 
B)  $7.7$ 
C)  $5.63$ 
D)  $- 1.7$

Question 6

Solve the problem.
-What are the odds in favor of drawing a number greater than 2 from these cards?

Accepted Answer

A)  3 to 5 
B)  4 to 1 
C)  4 to 5 
D)  3 to 2 
A)  3 to 5 
B)  4 to 1 
C)  4 to 5 
D)  3 to 2

Question 7

Find a formula for the nth term of the arithmetic sequence shown in the graph.
-

Accepted Answer

A)  $a _ { n } = n + 1$ 
B)  $a _ { n } = n - 3$ 
C)  $a _ { n } = n + 2$ 
D)  $a _ { n } = 3 - n$ 
A)  $a _ { n } = n + 1$ 
B)  $a _ { n } = n - 3$ 
C)  $a _ { n } = n + 2$ 
D)  $a _ { n } = 3 - n$

Question 8

Evaluate the sum using the given information.
-$x _ { 1 } = - 4 , x _ { 2 } = 0 , x _ { 3 } = 2 , x _ { 4 } = 5$, and $\Delta x = - 0.9 ; f ( x ) = 3 x ^ { 2 } - x$
$\sum _ { \mathrm { i } = 1 } ^ { 4 } \mathrm { f } \left( \mathrm { x } _ { \mathrm { i } } \right) \Delta \mathrm { x }$

Accepted Answer

A)  $- 475.2$ 
B)  $- 117.8$ 
C)  $- 118.8$ 
D)  $- 20.7828$ 
A)  $- 475.2$ 
B)  $- 117.8$ 
C)  $- 118.8$ 
D)  $- 20.7828$

Question 9

Provide an appropriate response.
-Consider the sequence defined by an = 41n - 98. Is this sequence arithmetic, geometric, or neither?

Accepted Answer

A)  Geometric 
B)  Arithmetic 
C)  Neither 
A)  Geometric 
B)  Arithmetic 
C)  Neither

Question 10

Find the common difference for the arithmetic sequence.
-$6,10,14,18 , \ldots$

Accepted Answer

A)  4 
B)  $0.04$ 
C)  12 
D)  $- 4$ 
A)  4 
B)  $0.04$ 
C)  12 
D)  $- 4$

Question 11

Solve the problem.
-A bag contains 9 apples and 7 oranges. If you select 8 pieces of fruit without looking, how many ways can you get exactly 7 apples?

Accepted Answer

A)  252 
B)  3528 
C)  504 
D)  72 
A)  252 
B)  3528 
C)  504 
D)  72

Question 12

Use a calculator to evaluate the expression.
-${ } _ { 62 } \mathrm { P } _ { 5 }$

Accepted Answer

A)  $6,471,002$ 
B)  $776,520,240$ 
C)  $155,304,048$ 
D)  $12,942,004$ 
A)  $6,471,002$ 
B)  $776,520,240$ 
C)  $155,304,048$ 
D)  $12,942,004$

Question 13

Find the first term and the common difference for the arithmetic sequence. Round approximations to the nearest
hundredth.
-$$\mathrm { a } _ { 10 } = 144 , \mathrm { a } _ { 29 } = 467$$

Accepted Answer

A)  $\mathrm { a } _ { 1 } = - 9 , \mathrm {~d} = 17$ 
B)  $\mathrm { a } _ { 1 } = 323 , \mathrm {~d} = - 9$ 
C)  $\mathrm { a } _ { 1 } = - 9 , \mathrm {~d} = 323$ 
D)  $\mathrm { a } _ { 1 } = 323 , \mathrm {~d} = 17$ 
A)  $\mathrm { a } _ { 1 } = - 9 , \mathrm {~d} = 17$ 
B)  $\mathrm { a } _ { 1 } = 323 , \mathrm {~d} = - 9$ 
C)  $\mathrm { a } _ { 1 } = - 9 , \mathrm {~d} = 323$ 
D)  $\mathrm { a } _ { 1 } = 323 , \mathrm {~d} = 17$

Question 14

It can be shown that $( 1 + x ) ^ { n } = 1 + n x + \frac { n ( n - 1 ) } { 2 ! } x ^ { 2 } + \frac { n ( n - 1 ) ( n - 2 ) } { 3 ! } x ^ { 3 } \ldots$ is true for any real number n (not just positive
integer values) and any real number x, where $| x | < 1$ Use this series to approximate the given number to the nearest
thousandth.
-$1.064$

Accepted Answer

A)  $1.262$ 
B)  $0.789$ 
C)  $1.267$ 
D)  $0.792$ 
A)  $1.262$ 
B)  $0.789$ 
C)  $1.267$ 
D)  $0.792$

Question 15

Find aS1U1B1nS1U1B0 and aS1U1B16S1U1B0 for the following arithmetic sequence.
-$$\mathrm { a } _ { 18 } = - 55 \mathrm { x } + 4 , \mathrm { a } _ { 20 } = - 53 \mathrm { x } + 10$$

Accepted Answer

A)  $a _ { n } = ( - 72 - n ) x - 47 - 3 n , a _ { 6 } = - 78 x - 65$ 
B)  $a _ { n } = ( - 73 + n ) x - 50 + 3 n , a _ { 6 } = - 67 x - 32$ 
C)  $a _ { n } = ( - 72 + n ) x - 44 + 3 n , a _ { 6 } = - 66 x - 62$ 
D)  $a _ { n } = ( - 72 + n ) x - 47 + 3 n , a _ { 6 } = - 66 x - 29$ 
A)  $a _ { n } = ( - 72 - n ) x - 47 - 3 n , a _ { 6 } = - 78 x - 65$ 
B)  $a _ { n } = ( - 73 + n ) x - 50 + 3 n , a _ { 6 } = - 67 x - 32$ 
C)  $a _ { n } = ( - 72 + n ) x - 44 + 3 n , a _ { 6 } = - 66 x - 62$ 
D)  $a _ { n } = ( - 72 + n ) x - 47 + 3 n , a _ { 6 } = - 66 x - 29$

Question 16

Find all natural number values for n for which the given statement is false.
-$2 n > 2 n + 2$

Accepted Answer

A)  $n > 3$ 
B)  $\mathrm { n } = 1,2$, or 4 
C)  $\mathrm { n } = 1$ or 2 
D)  $\mathrm { n } = 1,2$, or 3 
A)  $n > 3$ 
B)  $\mathrm { n } = 1,2$, or 4 
C)  $\mathrm { n } = 1$ or 2 
D)  $\mathrm { n } = 1,2$, or 3

Question 17

Solve the problem.
-A die is rolled 9 times. Find the probability of rolling exactly 9 ones.

Accepted Answer

A)  Approximately $6.0 \times 10 ^ { - 7 }$ 
B)  Approximately $9.9 \times 10 ^ { - 8 }$ 
C)  Approximately $2.8 \times 10 ^ { - 9 }$ 
D)  Approximately $1.7 \times 10 ^ { - 8 }$ 
A)  Approximately $6.0 \times 10 ^ { - 7 }$ 
B)  Approximately $9.9 \times 10 ^ { - 8 }$ 
C)  Approximately $2.8 \times 10 ^ { - 9 }$ 
D)  Approximately $1.7 \times 10 ^ { - 8 }$

Question 18

Provide an appropriate response.
-Convert the decimal $.676767 \ldots$ to a fraction by writing it as the infinite series $\frac { 67 } { 100 } + \frac { 67 } { 100 ^ { 2 } } + \frac { 67 } { 100 ^ { 3 } } + \ldots$

Accepted Answer

A)  $\frac { 67 } { 99 }$ 
B)  $0.66$ 
C)  $0.68$ 
D)  $0.68686869$ 
A)  $\frac { 67 } { 99 }$ 
B)  $0.66$ 
C)  $0.68$ 
D)  $0.68686869$

Question 19

Evaluate the sum.
-$$\sum _ { i = 1 } ^ { 7 } ( i - 4 )$$

Accepted Answer

A)  24 
B)  17 
C)  $- 3$ 
D)  0 
A)  24 
B)  17 
C)  $- 3$ 
D)  0

Question 20

Write out the first five terms of the sequence.
-$$a _ { n } = n ^ { 2 } - n$$

Accepted Answer

A)  $1,4,9,16,25$ 
B)  $0,2,6,12,20$ 
C)  $0,3,8,15,24$ 
D)  $2,6,12,20,30$ 
A)  $1,4,9,16,25$ 
B)  $0,2,6,12,20$ 
C)  $0,3,8,15,24$ 
D)  $2,6,12,20,30$

Write out the first five terms of the sequence. - $\mathrm { a } _ { \mathrm { n } } = \mathrm { n } - 4$

List the elements in the sample space of the experiment. -A box contains 13 white cards numbered 1 through 13. List the sample space of the event choosing one card with a number greater than 6.

Solve the problem. -What are the odds in favor of drawing a 1 from these cards?

Evaluate the series, if it converges. - $9 + \frac { 18 } { 5 } + \frac { 36 } { 25 } + \frac { 72 } { 125 } + \ldots$

Evaluate the sum. Round to two decimal places, if necessary. - $\sum _ { i = 2 } ^ { 5 } \frac { 6 } { i }$

Solve the problem. -What are the odds in favor of drawing a number greater than 2 from these cards?

Find a formula for the nth term of the arithmetic sequence shown in the graph. -

Evaluate the sum using the given information. - $x _ { 1 } = - 4 , x _ { 2 } = 0 , x _ { 3 } = 2 , x _ { 4 } = 5$ , and $\Delta x = - 0.9 ; f ( x ) = 3 x ^ { 2 } - x$ $\sum _ { \mathrm { i } = 1 } ^ { 4 } \mathrm { f } \left( \mathrm { x } _ { \mathrm { i } } \right) \Delta \mathrm { x }$

Provide an appropriate response. -Consider the sequence defined by an = 41n - 98. Is this sequence arithmetic, geometric, or neither?

Find the common difference for the arithmetic sequence. - $6,10,14,18 , \ldots$

Solve the problem. -A bag contains 9 apples and 7 oranges. If you select 8 pieces of fruit without looking, how many ways can you get exactly 7 apples?

Use a calculator to evaluate the expression. - ${ } _ { 62 } \mathrm { P } _ { 5 }$

Find the first term and the common difference for the arithmetic sequence. Round approximations to the nearest hundredth. - $\mathrm { a } _ { 10 } = 144 , \mathrm { a } _ { 29 } = 467$

Find a_n and a₆ for the following arithmetic sequence. - $\mathrm { a } _ { 18 } = - 55 \mathrm { x } + 4 , \mathrm { a } _ { 20 } = - 53 \mathrm { x } + 10$

Find all natural number values for n for which the given statement is false. - $2 n > 2 n + 2$

Solve the problem. -A die is rolled 9 times. Find the probability of rolling exactly 9 ones.

Provide an appropriate response. -Convert the decimal $.676767 \ldots$ to a fraction by writing it as the infinite series $\frac { 67 } { 100 } + \frac { 67 } { 100 ^ { 2 } } + \frac { 67 } { 100 ^ { 3 } } + \ldots$

Evaluate the sum. - $\sum _ { i = 1 } ^ { 7 } ( i - 4 )$

Write out the first five terms of the sequence. - $a _ { n } = n ^ { 2 } - n$

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Review of Basic Concepts

Filters

Exam 11: Further Topics in Algebra

Write out the first five terms of the sequence. - an=n−4\mathrm { a } _ { \mathrm { n } } = \mathrm { n } - 4an​=n−4