Question 1

Which of the following shows a pattern?

Accepted Answer

1, 4, 7, 10

Answer

sing, long, smooth, wall

Answer

3, 6, Y, 9, T

Answer

A, M, 8, T, Z

Question 2

What are the next three terms of the sequence 1, 3, 5, 7, ...?

Accepted Answer

9, 11, 13

Answer

8, 10, 12

Answer

9, 10, 11

Answer

8, 9, 10

Question 3

Which numerical pattern follows the rule "subtract 2, then multiply by 4", when starting with 4?

Accepted Answer

4, 2, 8, 6

Answer

4, 2, 4, 2

Answer

4, 6, 8, 10

Answer

4, 8, 12, 16

Question 4

Given $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ , generate a sequence with 4 terms.

Accepted Answer

$-1$ , $\frac{1}{4}$ , $-\frac{1}{9}$ , $\frac{1}{16}$

Answer

$-1$ , $\frac{1}{4}$ , $-\frac{1}{9}$ , $\frac{1}{16}$

Answer

$-1$ , $\frac{1}{4}$ , $-\frac{1}{9}$ , $\frac{1}{16}$

Answer

$-1$ , $\frac{1}{4}$ , $-\frac{1}{9}$ , $\frac{1}{16}$

Question 5

Which of the following is an arithmetic sequence?

Accepted Answer

3, 6, 9, 12, ...

Answer

$-1$ , $\frac{1}{4}$ , $-\frac{1}{9}$ , $\frac{1}{16}$ , ...

Answer

1, 2, 4, 7, ...

Answer

$-1$ , $\frac{1}{4}$ , $-\frac{1}{9}$ , $\frac{1}{16}$ , ...

Question 6

Which of the following is the common difference in the sequence: 2, 6, 10, 14, ...?

Accepted Answer

4

Answer

2

Answer

5

Answer

3

Question 7

Which of the following is NOT an arithmetic sequence?

Accepted Answer

2, 6, 11, 17, ...

Answer

4, 8, 12, 16, ...

Answer

50, 45, 40, 35, ...

Answer

$-1$ , $\frac{1}{4}$ , $-\frac{1}{9}$ , $\frac{1}{16}$ , ...

Question 8

Which is NOT true about the arithmetic sequence: 5, 8, 11, 14, ...?

Accepted Answer

Answer

Answer

Answer

Question 9

What is the arithmetic mean between 8 and 12?

Accepted Answer

10

Answer

11

Answer

9

Answer

12

Question 10

Which of the following formulas is used to find the nth term of an arithmetic sequence?

Accepted Answer

<math>a_n=a_1+\left(n-1\right)d</math>

Answer

<math>a_n=a_1+\left(n-d\right)</math>

Answer

<math>a_n=a_1+\left(n+1\right)d</math>

Answer

<math>a_n=a_1+\left(n+d\right)</math>

Question 11

Find the nth term of the arithmetic sequence given the following conditions:

$a_1=3$ $d=3$ $n=7$

Accepted Answer

21

Answer

20

Answer

22

Answer

23

Question 12

Which of the following is the formula for arithmetic series?

Accepted Answer

<math>S_n=\frac{n}{2}\left(a_1+a_n\right)</math>

Answer

<math>S_n=\frac{n}{2}\left(a_1+da_n\right)</math>

Answer

<math>S_n=\frac{n}{2}\left(a_1+d\right)</math>

Answer

<math>S_n=\frac{1}{2}\left(a_1+a_n\right)</math>

Question 13

Find the sum of the first 10 terms of the arithmetic sequence 4, 11, 18, ...

Accepted Answer

355

Answer

365

Answer

345

Answer

335

Question 14

What operation is used in obtaining the succeeding terms in a geometric sequence?

Accepted Answer

multiplication

Answer

subtraction

Answer

addition

Answer

division

Question 15

This refers to the number that is being multiplied to obtain a geometric sequence.

Accepted Answer

common ratio

Answer

common sum

Answer

common difference

Answer

number of terms

Question 16

Which of the following is the common ratio in the sequence $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ , $\frac{1}{8}$ , $\frac{1}{4}$ , $\frac{1}{2}$ , ...?

Accepted Answer

2

Answer

1

Answer

Answer

Question 17

Which of the following is the value of $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ so that the terms $\frac{1}{8}$ , $\frac{1}{4}$ , $\frac{1}{2}$ , $r-1$ , ... form a geometric sequence?

Accepted Answer

2

Answer

4

Answer

3

Answer

1

Question 18

Which of the following terms is closely associated to an arithmetic sequence?

Accepted Answer

common difference

Answer

all of these

Answer

common ratio

Answer

none of these

Question 19

Which of the following terms is closely associated to a geometric sequence?

Accepted Answer

common ratio

Answer

none of these

Answer

common difference

Answer

all of these

Question 20

Complete the analogy:

arithmetic sequence : __________ :: geometric sequence : common ratio

Accepted Answer

common difference

Answer

common product

Answer

common sum

Answer

common ratio

Question 21

What is the geometric mean between 2 and 18?

Accepted Answer

6

Answer

4

Answer

10

Answer

14

Question 22

Which of the following formulas is used to find the nth term of a geometric sequence?

Accepted Answer

Answer

Answer

Answer

Question 23

It indicates infinite geometric sequence.

Accepted Answer

ellipsis

Answer

bar line

Answer

arrowhead

Answer

all of these

Question 24

Which of the following formulas is used to find the finite geometric series?

Accepted Answer

<math>S_n=\frac{a_1\left(1-r^n\right)}{1-r}</math>

Answer

Answer

<math>S_n=\frac{a_1\left(1-r\right)}{1-r}</math>

Answer

Question 25

The force of gravity causes a body to fall 15.1 dm during the first second, 45.3 dm the next second, 75.5 dm the third, and so on. How far will the body fall in 5 seconds?

Accepted Answer

135.9 dm

Answer

135.6 dm

Answer

135.8 dm

Answer

135.7 dm

Question 26

Which of the following is a polynomial?

I. $\frac{1}{4}$

II. $\frac{1}{4}$

III. $3x^2+\frac{1}{x}-2$

Accepted Answer

II only

Answer

I only

Answer

I and III

Answer

III only

Question 27

If a fifth-degree polynomial is divided by a second-degree polynomial, what is the degree of the quotient?

Accepted Answer

3

Answer

2

Answer

4

Answer

1

Question 28

Synthetic division requires that the divisor is a binomial of the form __________.

Accepted Answer

Answer

Answer

Answer

Question 29

If you are dividing $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ by $\frac{1}{8}$ using synthetic division, which of the following following is the correct first row of the algorithm?

Accepted Answer

1| 1 -1 -2 10

Answer

1| 10 1 -2 -1

Answer

-1| 1 -1 -2 10

Answer

-1| 10 1 -2 -1

Question 30

Find the value of $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ so that when $\frac{1}{8}$ divided by $\frac{1}{4}$ gives a remainder of 44.

Accepted Answer

17

Answer

7

Answer

-7

Answer

-17

Question 31

If $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ is a factor of $\frac{1}{8}$ , then $\frac{1}{4}$ __________.

Accepted Answer

0

Answer

k

Answer

x

Answer

P

Question 32

Which of the following are factors of $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ ?

I. $-\frac{1}{9}$ II. $\frac{1}{16}$ III. $x+2$ IV. $x-3$

Accepted Answer

I, II, and IV

Answer

I, III, and IV

Answer

II, III, and IV

Answer

I, II, and III

Question 33

If $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ , in lowest terms, is a rational root of the equation, then $\frac{1}{8}$ is a factor of __________ and $\frac{1}{4}$ is a factor of $\frac{1}{2}$ .

Accepted Answer

Answer

Answer

Answer

Question 34

Evaluate $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ when $\frac{1}{8}$ .

Accepted Answer

Answer

-6

Answer

6

Answer

18

Question 35

A polynomial is completely factored if its factors are __________.

Accepted Answer

prime

Answer

even

Answer

composite

Answer

odd

Question 36

What is the greatest common factor (GCF) of all terms in the polynomial $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ ?

Accepted Answer

4

Answer

16

Answer

8

Answer

2

Question 37

What will be multiplied to $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ to get $\frac{1}{8}$ ?

Accepted Answer

Answer

Answer

Answer

Question 38

Factor $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ .

Accepted Answer

<math>\left(5x-2\right)\left(5x+2\right)</math>

Answer

<math>\left(5x-2\right)\left(5x-2\right)</math>

Answer

<math>\left(2x+5\right)\left(2x-5\right)</math>

Answer

<math>\left(5x+2\right)\left(5x+2\right)</math>

Question 39

What kind of polynomial equation is $a_n=\frac{\left(-1\right)^n}{\left(-n\right)^2}$ ?

Accepted Answer

cubic equation

Answer

quadratic equation

Answer

quartic equation

Answer

linear equation

Question 40

A storage box has a length of (2x + 3) ft, widthof (x + 1) ft, and height of x ft. Which of the polynomial function representsthe volume of the box?

Accepted Answer

V(x) = x(2x + 3)(x + 1)

Answer

V(x) = x(2x + 3) + (x + 1)

Answer

V(x) = x + (2x + 3) + (x + 1)

Answer

V(x) = x + (2x + 3)(x + 1)

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