Question 1

Given the sequence 18, 13, 8,3, …, what is the next term?

Accepted Answer

-2

Answer

-8

Answer

4

Answer

2

Question 2

Find the first 4 terms of the sequence given the nth term a_n= (n+1)².

Accepted Answer

4, 9, 16, 25

Answer

9, 16, 25, 36

Answer

4, 8, 12, 16

Answer

4, 6, 8, 10

Question 3

Which pattern generates for the sequence 2, 4, 8, 16, 32, …?

Accepted Answer

an=2n

Answer

a_n=(-2)ⁿ

Answer

an=2n2-3

Answer

an=2n+2

Question 4

1. In the sequence $\frac{1}{2}x+3,\ x+2,\ \frac{3}{2}x+1$ what is the next term?

Accepted Answer

2x

Answer

$\frac{5}{2}x-1$

Answer

$\frac{5}{2}x-1$

Answer

2x+1

Question 5

Which of the following is NOT an arithmetic sequence?

Accepted Answer

12, 14, 18, -5, ...

Answer

2,4, 8, 16, …

Answer

2, 12, 22, 32, …

Answer

5, 6, 7, 8, …

Question 6

In the arithmetic sequence 9,13, 17, …, which term is 405?

Accepted Answer

100th term

Answer

103rd term

Answer

102nd term

Answer

101st term

Question 7

What is the sum of the numbers from 1 to 101 which are divisible by 5?

Accepted Answer

1 050

Answer

1 150

Answer

850

Answer

950

Question 8

If three arithmetic means are inserted between -15 and 9, find the third of these arithmetic means.

Accepted Answer

3

Answer

-3

Answer

9

Answer

-9

Question 9

Find the sum of the first 9 terms of the arithmetic sequence with a₁ = -5 and d =7.

Accepted Answer

207

Answer

307

Answer

200

Answer

400

Question 10

A movie theater has 25 seats in the first row, 26 seats on the second row, 27 seats on the third row. If each successive row contains one additional row, how many seats are there if there are 20 rows in all?

Accepted Answer

690

Answer

440

Answer

520

Answer

700

Question 11

Which of the following illustrates an arithmetic sequence?

Accepted Answer

18, 21, 24

Answer

– 27, 81, - 243

Answer

18, - 21, 24

Answer

27, - 81, 243

Question 12

Which is the common difference of 2y, 3y + 1, 4y + 2?

Accepted Answer

y+1

Answer

y-1

Answer

2y+1

Answer

y+2

Question 13

What is the 1st term of an arithmetic sequence if a₄ = 5 and d = 7?

Accepted Answer

-16

Answer

26

Answer

-23

Answer

19

Question 14

Find the 5th term in the geometric sequence 4,12, 36, ...

Accepted Answer

324

Answer

108

Answer

40

Answer

44

Question 15

The first and fourth terms of a geometric series are 3 and 375 respectively. Find the sum of the first seventh terms in the sequence.

Accepted Answer

58 893

Answer

58 090

Answer

58 593

Answer

58 592

Question 16

A sequence in which each term is obtained by multiplying the preceding term by a common ratio is.

Accepted Answer

geometric sequence

Answer

arithmetic sequence

Answer

harmonic sequence

Answer

Fibonacci

Question 17

A finite geometric sequence is a list of numbers with an ending where each term is multiplied by a constant ratio while an infinite geometric sequence is _____.

Accepted Answer

list of numbers without ending where each term is multiplied by a constant ratio.

Answer

list of numbers without ending where each term is divided by a constant ratio.

Answer

list of numbers without ending where each term is added by a constant ratio.

Answer

list of numbers without ending where each term is subtracted by a constant ratio.

Question 18

How many terms are there in the geometric sequence 3, 6, 12, 24, 48, …, 384?

Accepted Answer

8

Answer

9

Answer

6

Answer

7

Question 19

Find three geometric means between 81 and 1.

Accepted Answer

27, 9 , 3

Answer

3, 9, 27

Answer

243, 81, 27

Answer

9, 3, 1

Question 20

Paul dropped a ball from the top of 50 feet building. The ball hits the ground and bounces exactly 50% of its previous height. How many feet does it travel before it stops.

Accepted Answer

150 feet

Answer

180 feet

Answer

170 feet

Answer

160 feet

Question 21

Given the division statement: $\frac{1}{2}x+3,\ x+2,\ \frac{3}{2}x+1$ , what is $5x^2-3x+2$

Accepted Answer

quotient

Answer

divisor

Answer

remainder

Answer

dividend

Question 22

Which of the following shows the quotient when 3x²+3x-18 is divided by x-2?

Accepted Answer

3x+9

Answer

9x-3

Answer

3x-9

Answer

9x+3

Question 23

If (1+x³–6x-3x²) is divided by (x+1), then the remainder is _____.

Accepted Answer

3

Answer

7

Answer

0

Answer

1

Question 24

Find the remainder when $\frac{1}{2}x+3,\ x+2,\ \frac{3}{2}x+1$ is divided by x+1.

Accepted Answer

-19

Answer

19

Answer

-17

Answer

-11

Question 25

Which of the following is a factor of x³ -6x² -12x+45?

Accepted Answer

x+3

Answer

x+4

Answer

x+1

Answer

x+2

Question 26

What is the quotient when (7x² +x³ -72–6x) is divided by (x+6)?

Accepted Answer

x2+x–12

Answer

x2+4x+3

Answer

x2-6x–9

Answer

x2+x+12

Question 27

What are the factors of 4𝑥⁴ −4𝑥³ −15𝑥² +16𝑥−4.

Accepted Answer

(𝑥−2)(𝑥+2)(2𝑥−1)(2𝑥−1)

Answer

(𝑥−2)(𝑥-2)(2𝑥−1)(2𝑥−1)

Answer

(𝑥+2)(𝑥+2)(2𝑥−1)(2𝑥−1)

Answer

(𝑥−3)(𝑥+2)(2𝑥−1)²

Question 28

Which set consists of the possible rational roots of x⁴ + 8x³ + 4x²– 8x -6 = 0?

Accepted Answer

±1, ±2, ±3, ±6

Answer

±2, ±3 ±6

Answer

±2, ±3

Answer

±1, ±3, ±4, ±6

Question 29

What polynomial equation has 2, 3, and 4 as roots?

Accepted Answer

2 (x - 2) (x - 4) (x - 3) = 0

Answer

(x – 2) (x + 4) (x –3) = 0

Answer

(x + 2) (x – 3) (x +4) = 0

Answer

2 (x + 2) (x + 3) (x + 4) = 0

Question 30

The area of a rectangular pool table is (4x² - 4x - 35) square units. The length is (2x + 5)units. What is the width

Accepted Answer

(2x-7) units

Answer

(2x+12) units

Answer

(27x-7) units

Answer

(2x-12) units

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