Quiz about Precalculus Review Test_Saballe

Question 1

Find the next three terms in this sequence: 5120, 1280, 320, 80...

Accepted Answer

20, 5, 1.25

Answer

-160, -400, -640

Answer

40, 20, 10

Answer

76, 72, 68

Question 2

What is the sum of the finite geometric series, 1+4+16+64+... +4096 ?

Accepted Answer

5,461

Answer

2,073.3

Answer

25,347

Answer

349,525

Question 3

Suppose you drop a tennis ball from a height of 15 feet . After the ball hits the floor, it rebounds to 85% of its previous height . How high the ball rebound after its third bounce? Round to the nearest tenth.

Accepted Answer

9.2 feet

Answer

10.8 feet

Answer

7.8 feet

Answer

1.9 feet

Question 4

What is the sum of the first 5 numbers in the series 1+2+4+8+16+32+...?

Accepted Answer

31

Answer

16

Answer

63

Answer

32

Question 5

The first term of a geometric sequence is -2 and the common ratio is 3. What is the 12th term of the sequence?

Accepted Answer

-354,294

Answer

-1,062,882

Answer

-6144

Answer

12288

Question 6

The sum of the first 10 terms of an arithmetic progression is 40. If the first term is -5, then what is the common difference?

Accepted Answer

2

Answer

-3

Answer

-1

Answer

4

Question 7

A small hole in a rubberized container allows 1/20 of the air to escape each second. What percent of the air will remain in the container 6 seconds after the opening of the hole?

Accepted Answer

70%

Answer

30%

Answer

50%

Answer

60%

Question 8

The population of Leyte National High School at the beginning of year 2020 is 10,500. If it constantly increases by 3% every year, what will be the approximate population at the end of the year 2023?

Accepted Answer

11, 445

Answer

10, 815

Answer

11, 139

Answer

12, 102

Question 9

The number of bacteria in a certain culture doubles every hour. If there were 30 bacteria present in the culture originally, how many bacteria will be present at the end of nth hour?

Accepted Answer

(30)(2)^n

Answer

(15)(2)^n

Answer

(30)(0.2)^n

Answer

(0.2)(30)^n

Question 10

Given the geometric sequence 3, 6, 12,... what is the sum of the first 8 terms?

Accepted Answer

765

Answer

700

Answer

745

Answer

800

Question 11

Which statement describes the Fibonacci pattern to find successive terms?

Accepted Answer

add the previous two terms.

Answer

multiply the previous two terms.

Answer

multiply the previous term times 2.

Answer

add 1 to the previous term.

Question 12

How many pairs of rabbits will be present at the end of the 10th month (or the beginning of the 11th month)?

Accepted Answer

55

Answer

34

Answer

144

Answer

233

Question 13

How do you call the sum of the terms of the given sequence?

Accepted Answer

series

Answer

Fibonacci

Answer

arithmetic

Answer

geometric

Question 14

In the expression equation ("summation of 383i+5 from i=3 to i=8") , which is the index of summation?

Accepted Answer

3

Answer

8

Answer

i

Answer

5

Question 15

What is the sum represented by ("summation of 383i+5 from i=3 to i=8")?

Accepted Answer

11669

Accepted Answer

12664

Accepted Answer

12669

Accepted Answer

13664

Question 16

What is the sum represented by the notation in the photo?

Accepted Answer

242

Answer

80

Answer

105

Answer

289

Question 17

What is the expanded form of the summation notation, ?

Accepted Answer

-1 + 1+ 3 + 5

Answer

0 + 3 + 6 + 9

Answer

3 + 8 + 13 + 18

Answer

-2 + 4 + (-6) + 8

Question 18

Which of the following notation represents the series, -2 + 1 + 6 + 13 + 22 ?

Accepted Answer

Question 19

Which of the following is true about harmonic sequence?

Accepted Answer

The terms of the sequence is a reciprocal of the terms of an arithmetic sequence.

Answer

It has a common ratio.

Answer

It represents pairing of rabbits in each month.

Answer

It is generated by dividing a constant number from the preceding term.

Question 20

What does this sign mean?

Accepted Answer

It is the upper-case Greek letter for S, called Sigma. It indicates a 'sum of.'

Answer

It is the symbol for exponent.

Answer

It is the Latin symbol for Exponential Equations.

Answer

It is the symbol meaning function.

Question 21

Which of the following is NOT a sequence?

Accepted Answer

{5, 1, 45, 31, . . .}

Answer

{1, 2, 3, 4, . . .}

Answer

{2, 4, 6, 8, . . .}

Answer

{3, 5, 7, 9, . . .}

Question 22

Which property is demonstrated in this process, ?

Accepted Answer

Summation of a Constant

Answer

Summation of Difference

Answer

Summation of a Product

Answer

Summation of a Sum

Question 23

In the notation, what is the upper limit?

Accepted Answer

5

Answer

2

Answer

3

Answer

4

Question 24

Which of the following statements is TRUE about reference angle?

Accepted Answer

The angle must be in standard position.

Answer

It must be a quadrantal angle too.

Answer

The vertex is at the negative x-axis.

Answer

It is the negative acute angle.

Question 25

Which of the following is true about angle in standard position?

Accepted Answer

The vertex is at the origin.

Answer

Its initial side is on the negative x-axis.

Answer

It is located at the fourth quadrant.

Answer

Its terminal side must coincides.

Question 26

The following statements are true about the measurement of negative angles, EXCEPT.

Accepted Answer

it is a counterclockwise measurement

Answer

it is in standard position

Answer

it is a clockwise measurement

Answer

it has an initial and terminal side

Question 27

What do you call an angle that has the same terminal side?

Accepted Answer

coterminal

Answer

reference

Answer

quadrantal

Answer

standard

Question 28

The following are units of angle measurement that are commonly used, EXCEPT.

Accepted Answer

meter

Answer

radian measure

Answer

degree measure

Answer

revolution

Question 29

Convert -2 rad to degrees.

Accepted Answer

-114.59

Answer

-360

Answer

-2

Answer

-121.45

Question 30

Convert 5.58 degrees to minutes and seconds

Accepted Answer

5 deg, 34 mins, and 48 sec

Answer

5 deg, 48 mins, and 34 sec

Answer

5 deg, 5 mins, and 5 sec

Answer

5 deg, 12 mins, and 60 sec

Question 31

Convert 282 degrees to radian measure.

Accepted Answer

47pi/30

Answer

25pi/12

Answer

12pi/27

Answer

12pi/40

Question 32

Convert 12pi/32 to degrees.

Accepted Answer

67.5

Answer

82.2

Answer

76.5

Answer

38.8

Question 33

Convert 123.32 degrees to minutes and seconds.

Accepted Answer

123 deg, 19 min, and 12 sec

Answer

123 deg, 12 min, and 19 sec

Answer

123 deg, 23 min, and 32 sec

Answer

123 deg, 3 min, and 2 sec

Question 34

Convert 123.32 degrees to radian

Accepted Answer

2.15 rad

Answer

2.64 rad

Answer

1.37 rad

Answer

0.69 rad

Question 35

Convert 18 degrees , 20 minutes and 3 seconds to decimals.

Accepted Answer

18.33

Answer

18.38

Answer

18.27

Answer

18.09

Question 36

Convert -pi/2 to degrees.

Accepted Answer

-90

Answer

90

Answer

180

Answer

-180

Question 37

Convert 2/3 rev to radian

Accepted Answer

4.19 rad

Answer

3.99 rad

Answer

4.89 rad

Answer

3.01 rad

Precalculus Review Test_Saballe

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