Question 1

It is a sequence where every term after the first is obtained by adding a constant.

Accepted Answer

arithmetic

Answer

geometric

Answer

harmonic

Answer

Fibonacci

Question 2

It is a sequence where each term after the first is obtained by multiplying the preceding term by a nonzero constant.

Accepted Answer

geometric

Answer

harmonic

Answer

Fibonacci

Answer

arithmetic

Question 3

Which of the following illustrates sequence?

Accepted Answer

3,7, 11, 15, 19, …

Answer

16,8, 0, 8, …

Answer

7,9, 10, 13, 15,…

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Question 4

What is the general rule of the sequence 2, 5, 8, 11, 14, …?

Accepted Answer

a_n= 3n – 1

Answer

a_n= 3(n – 1)

Answer

a_n= 1 – 3n

Answer

a_n= 3n + 1

Question 5

Which general term defines the sequence 3, 9, 19, 33, ……..?

Accepted Answer

a_n= 2n² + 1

Answer

a_n= n² + 3n – 1

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$ = 4n – 1

Answer

a_n= 5 – 2n

Question 6

What is the ninth term of the sequence whose general term is a_n = n²– n – 1?

Accepted Answer

71

Answer

-91

Answer

91

Answer

-71

Question 7

Which of the following DOES NOT illustrates arithmetic sequence?

Accepted Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

-2, -5, -11, -14,...

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Question 8

The sixth term of the arithmetic sequence $-\frac{2}{3},-\frac{1}{6},\frac{1}{3},\frac{5}{6},...\ is$

Accepted Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Question 9

What is n in an arithmetic sequence 2, 5,8, 11, ……. If a_n = 107?

Accepted Answer

36

Answer

35

Answer

34

Answer

33

Question 10

What is the missing term in the given sequence ____ , 40 , 46 , 52?

Accepted Answer

34

Answer

58

Answer

36

Answer

43

Question 11

What is the arithmetic mean between 6 and 36?

Accepted Answer

21

Answer

6

Answer

30

Answer

42

Question 12

The common difference of the sequence $-\frac{2}{3},-\frac{1}{6},\frac{1}{3},\frac{5}{6},...\ is$

Accepted Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Question 13

What is the common difference in the sequence -7, -12, -17, -22?

Accepted Answer

-5

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

5

Question 14

What is the common difference of the sequence 15, 24, 33, 42,……?

Accepted Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

15

Answer

-9

Answer

9

Question 15

The sum of the twelve terms in the arithmetic sequence 9, 5, 1, …… is

Accepted Answer

-156

Answer

156

Answer

152

Answer

-160

Question 16

Find the sum of the first eight terms of the arithmetic sequence with first term 2 and eight term 11.

Accepted Answer

52

Answer

22

Answer

-52

Answer

33

Question 17

What is the sum of the ten terms of the arithmetic sequence whose first term is -3 and common difference is $-\frac{2}{3},-\frac{1}{6},\frac{1}{3},\frac{5}{6},...\ is$

Accepted Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Question 18

How many numbers between 25 and 400 are exactly divisible by 11?

Accepted Answer

34

Answer

36

Answer

37

Answer

35

Question 19

For the numbers 8x + 4, 6x – 2, 2x – 7, to form an arithmetic sequence, what must be the value of x?

Accepted Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

2

Answer

-2

Question 20

What is the common ratio in the sequence 81, 27, 9, 3, …?

Accepted Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

-3

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

3

Question 21

The geometric mean between 8 and 392 is ______.

Accepted Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

56

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

-56

Question 22

What is n in the geometric sequence 4, 8, 16, … if a_n = 4,096? ?

Accepted Answer

11

Answer

8

Answer

9

Answer

10

Question 23

What is the common ratio in the sequence 4 $-\frac{2}{3},-\frac{1}{6},\frac{1}{3},\frac{5}{6},...\ is$ , 8 $\sqrt[2]{16}$ , …?

Accepted Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

4

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

2

Question 24

What is the common ratio of the sequence $-\frac{2}{3},-\frac{1}{6},\frac{1}{3},\frac{5}{6},...\ is$

Accepted Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

$\frac{13}{2},\frac{28}{3},\frac{42}{3},\frac{47}{3},...,$

Answer

3

Answer

-3

Question 25

What is the sum of the first seven terms of the geometric series 1+3+9+…?

Accepted Answer

1093

Answer

2187

Answer

-2187

Answer

-1093

Question 26

What is the infinite sum of the sequence $-\frac{2}{3},-\frac{1}{6},\frac{1}{3},\frac{5}{6},...\ is$

Accepted Answer

1

Answer

2

Answer

4

Answer

3

Question 27

What is the eight term of the geometric sequence $-\frac{2}{3},-\frac{1}{6},\frac{1}{3},\frac{5}{6},...\ is$ , 4, 12, 36, …?

Accepted Answer

2916

Answer

1926

Answer

2169

Answer

2619

Question 28

What could be the three geometric means between 1 and 81?

Accepted Answer

-3,9 and -27

Answer

-3, -9 and 27

Answer

-3, 9 and 27

Answer

3,9 and -27

Question 29

The terms between any two nonconsecutive terms of an arithmetic sequence.

Accepted Answer

arithmetic means

Answer

common difference

Answer

geometric means

Answer

common ratio

Question 30

Is the sequence 6, 18, 54, … geometric or arithmetic?

Accepted Answer

Geometric Sequence

Answer

Arithmetic Sequence

Answer

both arithmetic and geometric

Answer

neither

Question 31

A culture of bacteria doubles every two hours. If there are 500 bacteria at the beginning, how many bacteria will there be after 24 hours?

Accepted Answer

2,048,000

Answer

2,004,800

Answer

2,000,480

Answer

2,480,000

Question 32

An employee has a salary of Php195, 000 per year. His employer promised to raise his salary

Php1, 050every year. Find his total earning overa 4- year period.

Accepted Answer

Php985, 500

Answer

Php394, 200

Answer

Php 95, 000

Answer

Php390, 000

Question 33

A car rental company charges a base rate to rent a car plus an additional fee on how many miles you drive the car. The table below represents the total cost to rent a car. How much will you have to pay if you drive the car for 100 miles?

Accepted Answer

Php9, 260

Answer

Php      1, 820

Answer

Php1, 500

Answer

Php7, 760

Question 34

A bungee jumper jumps a bridge. The jumper’s height above the ground at the top of each bounce is as follows:

1^st bounce:200ft

2^ndbounce: 80ft

3^rd bounce:32ft

What is the jumper’s height at the top of the 5^th bounce?

Accepted Answer

5.12ft

Answer

52ft

Answer

51ft

Answer

5.21ft

Question 35

Which of the following is a polynomial?

i.x³ + 9x – 5x² + 7 ii.X^-3 + 2x^-2 + 5x + 2 iii. $\sqrt{5x^2+3\sqrt{x}}$

Accepted Answer

i only

Answer

ii only

Answer

i and ii only

Answer

i and iii

Question 36

The quotient when x³ + 6x²+ 10x + 3 is divided by x + 3 equals.

Accepted Answer

x²+ 3x + 1

Answer

x²– x -1

Answer

x²+ 3x – 1

Answer

–x²– 3x + 1

Question 37

What is the remainder when x³ – 3x² + x + 4 is divided by x –2 ?

Accepted Answer

2

Answer

0

Answer

1

Answer

-2

Question 38

What must be the value of k so that x + 1is a factor of P(x) = 3x³ + kx²– x -2?

Accepted Answer

4

Answer

5

Answer

6

Answer

3

Question 39

Which of the binomial is a factor of P(x) = -x³+ 2x²– 2x + 4?

Accepted Answer

x-2

Answer

x+3

Answer

x+2

Answer

x-3

Question 40

Find the zeros of P(x) = (x – 3) (x + 2) (x – 1) (x + 1)

Accepted Answer

3,-2,1,-1

Answer

-9,4-2,2

Answer

9,-4,2,-2

Answer

-3,2,-1,1

Question 41

If (7x⁴– 5x⁵ – 7x³ + 2x – 3) is divided by (x + 3) usingsynthetic division, the numbers in the

first row would be

Accepted Answer

-5 7 -7 0 2 -3

Answer

1 7 -7 0 2 -3

Answer

-7 -7 -5 0 2 -3

Answer

-3 7 -5 0 2 -5

Question 42

Given P(x) =2x³ + 3x² – 5x – 12, what is the value of P(3)?

Accepted Answer

54

Answer

56

Answer

55

Answer

53

Question 43

Juanito will evaluate an eleven degree polynomial in x at x = 10 using Remainder Theorem and synthetic division. How many coefficients of x will be written in the first row of the synthetic division procedure?

Accepted Answer

12

Answer

11

Answer

13

Answer

10

Question 44

If P(-2) =0, which of the following statements is true?

Accepted Answer

x +2 is a factor of P(x)

Answer

P(x)= 0, has two negative roots

Answer

2 is root of P(x) = 0

Answer

P(0)= 2

Question 45

Determine the number of real roots of the polynomial equations x³ + 5x² -9x -45=0?

Accepted Answer

3

Answer

0

Answer

2

Answer

1

Question 46

The following are examples of polynomials, EXCEPT

Accepted Answer

5x^-3+ 9x^-2 + 12x + 8

Answer

3r⁴– 5r³ + 2r – 1

Answer

y²– 4y + 5

Answer

a3– b3

Question 47

What is the leading coefficient of the polynomial, 5x⁹ + 4x⁸ +4x⁵ + x³ + x ?

Accepted Answer

5

Answer

9

Answer

8

Answer

3

Question 48

Which expression gives the remainder when P(x) = 4x²+ 2x – 5 is divided by (x – 2)?

Accepted Answer

P(2)

Answer

P(-2)

Answer

P( $-\frac{2}{3},-\frac{1}{6},\frac{1}{3},\frac{5}{6},...\ is$ )

Answer

P(-5)

Question 49

If one ream of bond paper costs (3x-4) pesos, how many reams can you buy for

( 6x⁴- 17x³ + 24x² - 4x -16 ) ?

Accepted Answer

2x³-3x² +4x + 4

Answer

2x³+3x² +4x + 4

Answer

2x³-3x² +4x - 4

Answer

2x³+3x² -4x + 4

Question 50

What is a factored form of P(x) = x³ - 4x²+x +6 ?

Accepted Answer

(x+ 1 ) (x -2 ) (x– 3 )

Answer

(x)(1) (x² + 1)

Answer

(x)(-1) (x² + 1)

Answer

(x)(x – 1) (x² + 1)

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