1st Quarter Periodic Flashcards

1
Q
  1. What Comes next in the pattern 1,2,A,3,4,E,5,6,7,8,O,9,10 , ___

A. B
B. U
C. D
D. C

A

B. U

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2
Q
  1. Find the missing letter to complete the pattern Z,Y,A,B,X,W,C,D,__, U, E, F

A. T
B. G
C. V
D. W

A

A. T

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3
Q
  1. What is the next term in the sequence 3, 4.5, 6, 7.5,?

A. 8
B. 8.5
C. 9.5
D. 9

A

D. 9

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4
Q
  1. What is the next three terms of the sequemce 12, 7, 2, -3 ?

A. -8, -13, -18
B. 8, 13, 18
C. 17, 22, 27
D. -17, -22, -27

A

A. -8, -13, -18

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5
Q
  1. What are the first four terms of the sequence: An = 3n - 1

A. 2,6,8,10
B. 2,7,12,17
C. 2,5,8,11
D. 2,3,4,5

A

C. 2,5,8,11

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6
Q
  1. Fill in the next two blanks of the sequence: 1/2, 1/3, 1/4, __, __

A. 1/2, 1/3
B. 1/5, 1/6
C. 1/6, 1/7
D. 1/8, 1/9

A

B. 1/5, 1/6

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7
Q
  1. The first term in an arithmetic sequence is 6 and the third term is 12. What is the second term ?

A. 9
B. 8
C. 6
D. 5

A

A. 9

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8
Q
  1. What is the 30th term in the sequence 3,5,7,9,11,…..?

A. 55
B. 57
C. 59
D. 61

A

D. 61

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9
Q
  1. A sequence whose consecutive terms have a common difference is…

A. Arithmetic Sequence
B. Geometric Sequence
C. Harmonic Sequence
D. Fibonacci Sequence

A

A. Arithmetic Sequence

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10
Q
  1. What is the sum of 1+2+3+4+5+6+….+100?

A. 4900
B. 4900
C. 4950
D. 5050

A

D. 5050

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11
Q
  1. Is the sequence 1, 3/2, 2, 5/2, 3…. an arithmetic sequence

A. Yes, because it has a common ratio of 1/2
B. Yes, because it has a common difference of 1/2
C. Yes, because it has a common ratio of 1.5
D. Yes, because it has a common difference of 1.5

A

B. Yes, because it has a common difference of 1/2

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12
Q
  1. What is the 15th term of the sequence 18,22,26,30,…..?

A. 47
B. 74
C. 36
D. 63

A

B. 74

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13
Q
  1. Insert three arithmetic means between 18 and 30

A. 20,23,28
B. 21,24,27
C. 15,24,33
D. 12,24,36

A

B. 21,24,27

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14
Q
  1. Find the sum of the first eight terms of the sequence whose first term is 3 and the common difference is -2?

A. 32
B. -32
C. 48
D. -48

A

B. -32

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15
Q
  1. The 11th term in an arithmetic sequence is 54 and the first term is 4. What the 4th mean?

A. 4
B. 14
C. 24
D. 29

A

C. 24

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16
Q
  1. A stack of soap boxes has 12 in the bottom row, 11 boxes in the second row, 10 on the 3rd row and so on. How many boxes are in the stack?

A. 78
B. 86
C. 132
D. 144

A

A. 78

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17
Q
  1. A company which is making 200 cellular phones each week will increase its production. The number of cellular phones will be increased by 20 each week from 200 in week 1 to 220 in week 2 to 240 in week 3 and so on until it will produce 600 cellular phones. In how many weeks will it produce 600 cellular phones?

A. 15
B. 18
C. 21
D. 27

A

C. 21

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18
Q
  1. If the common difference of the arithmetic sequence 14,12,10,8,… Is -2; the common ratio of the sequence
    14,7,3.5 is

A. 1/3
B. -1/3
C. 1/2
D. -1/2

A

C. 1/2

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19
Q
  1. Find a rule that involves using two or more basic arithmetic functions (+, -, ÷, ×)in the series; 5,7,14,16,32,34,___

A. Add 2, multiply by 2, add 2, multiply by 2 and so on. The missing term is 36
B. Add 2, multiply by 2, add 2, multiply by 2 and so on. The missing term is 68
C. Subtract by 2, divide by 2, subtract by 2, divide 2, and so on. The missing term is 36
D. Subtract by 2, divide by 2, subtract by 2, divide 2, and so on. The missing term is 68

A

B. Add 2, multiply by 2, add 2, multiply by 2 and so on. The missing term is 68

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20
Q
  1. The sequence 4,-1,1/4,-1/16,…. has a common ratio of

A. 1/4
B. -1/4
C. 1/2
D. -1/2

A

B. -1/4

21
Q
  1. An infinite geometric series has a sum if and only if

A. r<1
B. |r| < 1
C. r>1
D. r>-1

A

B. |r| < 1

22
Q
  1. What is the seventh term in the geometric sequence 4,-12,36,…. ?

A. 56
B. 336
C. 1406
D. 2916

A

D. 2916

23
Q
  1. Find the tenth term of the sequence 1000,-500,250,-125,…

A. 125/4
B. 125/64
C. 127/4
D. -127/14

A

B. 125/64

24
Q
  1. During an initial phase of an epidemic of chicken pox, the number of infected people can grow geometrically. If there were 4,8,16,32,… on the first 4 day of the epidemic, how many will be infected after 8 days?

A. 512
B. 314
C. 438
D. 212

A

A. 512

25
Q
  1. Find the third term of a geometric sequence whose second term is 3 and whose fifth term is 81.

A. 1/3
B. 1/81
C. 81
D. 9

A

D. 9

26
Q
  1. In the geometric sequence whose first term is 1 and whose common ratio is 10 , which term is 100,000

A. 4th
B. 5th
C. 6th
D. 7th

A

C. 6th

27
Q
  1. What type of series is 32+16+8+4+2+1?

A. Finite Arithmetic series
B. Finite Geometric Series
C. Infinite Arithmetic series
D. Infinite Geometric Series

A

B. Finite Geometric Series

28
Q
  1. Which of these geometric sequence has a sum to infinity.

A. 3,3,3,3,….
B. -3,-3,-3,….
C. 3,-3,3,-3,….
D. 8,4,2,1

A

D. 8,4,2,1

29
Q
  1. What is the sum of the sequence 1/4,1/8,1/16,1/32,….

A. 1/6
B. 1/2
C. 4/5
D. 13/16

A

B. 1/2

30
Q
  1. Find the positive geometric mean between 9 and 25

A. 10
B. 15
C. 20
D. 25

A

B. 15

31
Q
  1. What are three geometric means between 8 and 5000

A. 50,55,100
B. 20,100,1000
C. 40, 200, 1000
D. 10,100,1000

A

C. 40,200,1000

32
Q
  1. In the harmonic 1/2,1/9,1/16,1/23, …. Which term is 1/58

A. 8th
B. 9th
C. 10th
D. 11th

A

B. 9th

33
Q
  1. The sum to infinity of a geometric series is 60. If its first term is 80, find the common ratio.

A. 1/4
B. 1/3
C. -1/3
D. -1/2

A

C. -1/3

34
Q
  1. The sum of the first three terms of the geometric sequence where a1 = 3 and r= 2 is

A. 24
B. 21
C. 36
D. 42

A

B. 21

35
Q
  1. Find the 9th term of the fibonacci sequence 1,1,2,3

A. 21
B. 32
C. 34
D. 55

A

C. 34

36
Q
  1. Evaluate the sum of series
    1 , -2/3, 4/9, -8/27, ….

A. 4/3
B. 2/3
C. 4/5
D. 3/5

A

D. 3/5

37
Q
  1. Suppose Malia saves PHP1 on the first day of a month, PHP2 the second day, P4 the third day , and so on. That is , each day she saves twice as much as she did the day before. How much will her saving on the 10th day of the month?

A. 1803
B. 1209
C. 1404
D. 1023

A

D. 1023

38
Q
  1. Find the sum of the first 9 terms of the geometric sequence; 2, 6, 18, 54, ….

A. 18,682
B. 18,862
C. 19,682
D. 19,862

A

C. 19,682

39
Q
  1. Find the geometric mean between 16 and 25

A. 9
B. 16
C. 20
D. 24

A

C. 20

40
Q
  1. What is the sum of 1/5,1/25,1/125,1/625,….

A. 1/3
B. 1/4
C. 1/5
D. The sum does not exist

A

B. 1/4

41
Q
  1. A contract specifies that Dinah mendoza will receive a 5% pay increase each year for the next 30years . She is paid 120,000;the first year . What is her total lifetime salary over a 30-year period

A. 6,972,661.7
B. 6,972,761.7
C. 7,972,661.7
D. 7,972,761.7

A

C. 7,972,661.7

42
Q
  1. Which term of the harmonic sequence 1/2,1/4,1/6,… Is 1/16

A. 5th
B. 6th
C. 7th
D. 8th

A

D. 8th

43
Q
  1. What is the quotient when x² - 25 is divided by x-5

A. x-5
B. x-25
C. x+5
D. x+25

A

C. x+5

44
Q
  1. In using long division method to divide (5x²+14x-24) by (x+4), what is the process to get the second line (5x²+20x)

A. Subtracting 5x from (x+4)
B. Dividing 5x by (x+4)
C. Adding 5x to (x+4)
D. Multiplying 5x by (x+4)

A

D. Multiplying 5x by (x+4)

45
Q
  1. What is the remainder of the division sentence in number 44.

A. x+4
B. 5x-6
C. 5
D. 0

A

D. 0

46
Q
  1. Below is the solution when P(X) = x³ + 6x² + 2x -12 is divided by (x+2). Express the third row as a polynomial in x.2 | 1 6 2 -12
    —– -2 -8 12
    ____________________
    1 4 -6 0

A. x² - 4x - 6
B. x² - 4x + 6
C. x² - 4x + 6
D. x² + 4x - 6

A

D. x² + 4x - 6

47
Q
  1. If (7x⁴ - 5x^5 - 7x³ + 2x - 3) is divided by (x+3) using synthetic division, the numbers in the first row would be:

A. -5 7 -7 0 2 -3
B. -7 -7 -5 0 2 -3
C. 1 7 -7 0 2 -3
D. -3 7 -7 0 2 -5

A

A. -5 7 -7 0 2 -3

48
Q
  1. Which of the ff. Is a factor of (x³ - 5x² - 2x - 10) ÷ (x² + 2)

A. x-2
B. x-5
C. x+2
D. x+5

A

There is No Possible Answer