The document discusses sequences and patterns in mathematics. It defines key terms like sequences, terms, repeating patterns, and growth patterns. It provides examples of number, letter, shape, and figure sequences. The document also contains a word problem example about a boy sending gifts to his mother each day based on a pattern. It shows working out the pattern rule and using it to determine the number of gifts sent on the seventh day. Finally, it demonstrates finding the next three terms of a number sequence.

1. Mathematics 5
•Formulating the rule in
finding the next term in a
sequence
MELC Competency Code
M5AL – IIIf-6
Marie Fe V. Jambaro
Teacher Broadcaster
April 26, 2021 (Monday)
1

2. Mathematics 5
2

3. Mathematics 5
At the end of our lesson, you will be able to:
3

4. Mathematics 5
At the end of our lesson, you will be able to:
• Define sequences and patterns;
4

5. Mathematics 5
At the end of our lesson, you will be able to:
• Define sequences and patterns;
• Formulate the rule in finding the next
term in a sequence;
5

6. Mathematics 5
At the end of our lesson, you will be able to:
• Define sequences and patterns;
• Formulate the rule in finding the next
term in a sequence;
• Use sequences and patterns in our daily
life experiences. 6

7. Tell me
what I
am
7

8. TELL ME
What
I am
I will show you a
picture and then, you’ll
identify it based on
the descriptions.
8

9. TELL ME
What
I am
You have 5 seconds to
answer each question.
1 correct answer = 1
point
9

10. TELL ME
What
I am
You may also type your
answers on the comment
section of our Facebook live
streaming at RTV Tarlac
Channel 26.
10

11. Number 1
TELL ME
What
I am
 I belong to the family of solid figures.
 I have 6 faces, 12 edges and 8
vertices.
 I am a prism made up of two parallel
bases that are polygons of equal
areas.
 Tell me what I am. 11
https://bit.ly/3tIK1ZM
https://bit.ly/32CdHvL
https://bit.ly/3tIK1ZM

12. Number 1
TELL ME
What
I am
Rectangular Prism
12
https://bit.ly/3tIK1ZM
https://bit.ly/32CdHvL
https://bit.ly/3tIK1ZM

13. Number 2
TELL ME
What
I am
 I belong to the family of solid figures.
 I have 2 faces, no edge and no vertex.
 I am also non – polyhedron.
 Now, tell me what I am.
13
https://bit.ly/32CdHvL
https://bit.ly/3vbS9SY
https://bit.ly/3epKN7D

14. Number 2
TELL ME
What
I am
Cylinder
14
https://bit.ly/32CdHvL
https://bit.ly/3vbS9SY
https://bit.ly/3epKN7D

15. Number 3
TELL ME
What
I am
 I belong to the family of solid figures.
 I have no face, no edge and no vertex.
 I am also non – polyhedron.
 Now, tell me what I am.
15
https://bit.ly/3gADVqK
https://bit.ly/3xdECw9
https://bit.ly/2QuXjdY

16. Number 3
TELL ME
What
I am
Sphere
16
https://bit.ly/3xdECw9
https://bit.ly/3gADVqK
https://bit.ly/2QuXjdY

17. Page 250
Sequence
17

18. Definition of Terms
SEQUENCE
It is the list of items that
follow a certain pattern.
18

19. Definition of Terms
SEQUENCE
It is also an ordered set of
numbers, letters, shapes or
symbols 19
It is the list of items that follow a certain pattern.

20. Definition of Terms
TERM
Each number, letter, shape
or symbol in the sequence.
20

21. Definition of Terms
PATTERNS
Patterns in mathematics
can be geometric or
numeral in nature. 21

22. Repeating
Pattern
PATTERNS
22

23. Growth
Pattern
Repeating
Pattern
PATTERNS
23

24. Growth
Pattern
Repeating
Pattern
PATTERNS
24
It is defined as a pattern in which
there is a discernable unit of
repetition(Threlfall, 1999).
example
A B A B A B

25. Growth
Pattern
Repeating
Pattern
PATTERNS
25
It is defined as a pattern in which
there is a discernable unit of
repetition(Threlfall, 1999).
Example:
A B A B A B
It is defined as a pattern that has
discernable units commonly called
terms and each term in the pattern
depends on the previous term and
its position in the pattern.
Example: 5,10,15,20,25,30

26. Definition of Terms
Number Sequence
It shows pattern if
there is a common and specific
rule being shown by the order
of the numbers. 26

27. Definition of Terms
Skip Counting
It is one skill you have learned
which shows a certain pattern
in a given series of numbers.
27

28. Definition of Terms
Examples of Sequences
Numbers
28
2,4,6,8,10
5,10,15
1,1,2,3,5

29. Definition of Terms
Examples of Sequences
29
Letters a,b,c,a,b,c
x,y,z,x,y,z

30. Definition of Terms
Examples of Sequences
30
Shapes

31. Definition of Terms
Examples of Sequences
31
Figure

32. Definition of Terms
Examples of Sequence
Numbers
32
Letters Shapes Figure
2,4,6,8,10
5,10,15
1,1,2,3,5
a,b,c,a,b,c
x,y,z,x,y,z

33. Definition of Terms
Examples of Sequence
33
https://www.trekearth.com/gallery/Africa/Egypt/Delta/Giza/Giza/photo1157082.htm

34. Definition of Terms
Examples of Sequence
34
https://www.trekearth.com/gallery/Africa/Egypt/Delta/Giza/Giza/photo1157082.htm
https://www.musictheoryacademy.com/composing-music/sequences/

35. Definition of Terms
Examples of Sequence
35
https://www.trekearth.com/gallery/Africa/Egypt/Delta/Giza/Giza/photo1157082.htm
https://www.musictheoryacademy.com/composing-music/sequences/
https://itsi.intelligentpractice.co.za/read/maths/grade-
12/sequences-and-series/01-sequences-and-series-02

36. Definition of Terms
Examples of Sequence
36
https://www.trekearth.com/gallery/Africa/Egypt/Delta/Giza/Giza/photo1157082.htm
https://www.musictheoryacademy.com/composing-music/sequences/
https://itsi.intelligentpractice.co.za/read/maths/grade-
12/sequences-and-series/01-sequences-and-series-02
https://mathig
on.org/course
/sequences/fi
bonacci

37. Page 250
37

38. Example
Word Problem
Seven days before his mother’s birthday.
Clark planned to give her gifts. On the first
day, he sent one gift. On the second day, he
sent three gifts. On the third day, he sent
five gifts, and so on. How many gifts did
Clark send his mother on the seventh day?
38

39. Word Problem
Seven days before his mother’s birthday. Clark planned to give her gifts. On
the first day, he sent one gift. On the second day, he sent three gifts. On
the third day, he sent five gifts, and so on. How many gifts did Clark send his
mother on the seventh day?
39

40. Word Problem
40
Day 1st 2nd 3rd 4th 5th 6th 7th
Seven days before his mother’s birthday. Clark planned to give her gifts. On
the first day, he sent one gift. On the second day, he sent three gifts. On
the third day, he sent five gifts, and so on. How many gifts did Clark send his
mother on the seventh day?

41. Word Problem
41
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts
Seven days before his mother’s birthday. Clark planned to give her gifts. On
the first day, he sent one gift. On the second day, he sent three gifts. On
the third day, he sent five gifts, and so on. How many gifts did Clark send his
mother on the seventh day?

42. Word Problem
42
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 1
Seven days before his mother’s birthday. Clark planned to give her gifts. On
the first day, he sent one gift. On the second day, he sent three gifts. On
the third day, he sent five gifts, and so on. How many gifts did Clark send his
mother on the seventh day?

43. Word Problem
Seven days before his mother’s birthday. Clark planned to give her gifts. On
the first day, he sent one gift. On the second day, he sent three gifts. On
the third day, he sent five gifts, and so on. How many gifts did Clark send his
mother on the seventh day?
43
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 1 3

44. Word Problem
44
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 1 3 5
Seven days before his mother’s birthday. Clark planned to give her gifts. On
the first day, he sent one gift. On the second day, he sent three gifts. On
the third day, he sent five gifts, and so on. How many gifts did Clark send his
mother on the seventh day?

45. Word Problem
45
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 1 3 5
How many gifts did Clark send
to his mother on the
seventh day?
Seven days before his mother’s birthday. Clark planned to give her gifts. On
the first day, he sent one gift. On the second day, he sent three gifts. On
the third day, he sent five gifts, and so on. How many gifts did Clark send his
mother on the seventh day?

46. Word Problem
46
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
Seven days before his mother’s birthday. Clark planned to give her gifts. On
the first day, he sent one gift. On the second day, he sent three gifts. On
the third day, he sent five gifts, and so on. How many gifts did Clark send his
mother on the seventh day?

47. Word Problem
47
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
3 – 1

48. Word Problem
48
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
3 – 1
= 2

49. Word Problem
49
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
3 – 1
= 2
5 – 3

50. Word Problem
50
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
3 – 1
= 2
5 – 3
= 2

51. Word Problem
51
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
3 – 1
= 2
5 – 3
= 2

52. Word Problem
52
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
+2 =

53. Word Problem
53
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
+2 =

54. Word Problem
54
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
+2 = +2 =

55. Word Problem
55
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
+2 = +2 =

56. Word Problem
56
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
+2 = +2 =
Rule: add 2

57. Word Problem
57
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 ? ? ? ?
+2 = +2 = +2 =

58. Word Problem
58
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 7 ? ? ?
+2 = +2 = +2 =

59. Word Problem
59
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 7 ? ? ?
+2 = +2 = +2 = +2 =

60. Word Problem
60
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 7 9 ? ?
+2 = +2 = +2 = +2 =

61. Word Problem
61
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 7 9 ? ?
+2 = +2 = +2 = +2 = +2 =

62. Word Problem
62
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 7 9 11 ?
+2 = +2 = +2 = +2 = +2 =

63. Word Problem
63
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 7 9 11 ?
+2 = +2 = +2 = +2 = +2 = +2 =

64. Word Problem
64
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 7 9 11 13
+2 = +2 = +2 = +2 = +2 = +2 =

65. Word Problem
65
Day 1st 2nd 3rd 4th 5th 6th 7th
No. of
Gifts 5 7 9 11 13
+2 = +2 = +2 = +2 = +2 = +2 =

66. Word Problem
66
His mother will receive thirteen
gifts on the seventh day.
Final Answer:

67. Word Problem
67
His mother will receive thirteen gifts on the seventh day.
Final Answer:
Rule: add 2
n represents the
previous term
2 is the constant
number that is being
added to the term.

68. Find the next three terms of the sequence.
68
2, 5, 8, __, __, __
Example Number 1

69. Find the next three terms of the sequence.
69
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 ? ? ?
5 – 2
= 3

70. Find the next three terms of the sequence.
70
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 ? ? ?
5 – 2
= 3
8 – 5
= 3

71. Find the next three terms of the sequence.
71
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 ? ? ?
5 – 2
= 3
8 – 5
= 3

72. Find the next three terms of the sequence.
72
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 ? ? ?
+3 =

73. Find the next three terms of the sequence.
73
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 ? ? ?
+3 =

74. Find the next three terms of the sequence.
74
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 ? ? ?
+3 = +3 =

75. Find the next three terms of the sequence.
75
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 ? ? ?
+3 = +3 =

76. Find the next three terms of the sequence.
76
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 ? ? ?
+3 = +3 =
Rule: add 3

77. Find the next three terms of the sequence.
77
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 ? ? ?
+3 = +3 = +3 =

78. Find the next three terms of the sequence.
78
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 11 ? ?
+3 = +3 = +3 =

79. Find the next three terms of the sequence.
79
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 11 ? ?
+3 = +3 = +3 = +3 =

80. Find the next three terms of the sequence.
80
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 11 14 ?
+3 = +3 = +3 = +3 =

81. Find the next three terms of the sequence.
81
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 11 14 ?
+3 = +3 = +3 = +3 = +3 =

82. Find the next three terms of the sequence.
82
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 11 14 17
+3 = +3 = +3 = +3 = +3 =

83. Find the next three terms of the sequence.
83
Example Number 1
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
2 5 8 11 14 17
+3 = +3 = +3 = +3 = +3 =

84. Find the next three terms of the sequence.
84
2, 5, 8, __, __, __
Example Number 1
Final Answer
11 14 17
Rule: add 3

85. Find the next three terms of the sequence.
85
3, 6, 12,24 __, __, __
Example Number 2

86. Find the next three terms of the sequence.
86
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
Example Number 2

87. Find the next three terms of the sequence.
87
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
3+3 = 6
Example Number 2

88. Find the next three terms of the sequence.
88
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
3+3 = 6
3x2 = 6
Example Number 2

89. Find the next three terms of the sequence.
89
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
3+3 = 6
3x2 = 6
Example Number 2

90. Find the next three terms of the sequence.
90
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
3+3 = 6
3x2 = 6
Example Number 2

91. Find the next three terms of the sequence.
91
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
3+3=6
3x2=6
6+3 =9
6x2=12
Example Number 2

92. Find the next three terms of the sequence.
92
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
3+3=6
3x2=6
6+3 =9
6x2=12
Example Number 2

93. Find the next three terms of the sequence.
93
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
3+3=6
3x2=6
6+3 =9
6x2=12
Example Number 2
Rule: times 2

94. Find the next three terms of the sequence.
94
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
3+3=6
3x2=6
6+3 =9
6x2=12 12x2=24
Example Number 2

95. Find the next three terms of the sequence.
95
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
x2=
Example Number 2

96. Find the next three terms of the sequence.
96
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
x2=
Example Number 2

97. Find the next three terms of the sequence.
97
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
x2= x2=
Example Number 2

98. Find the next three terms of the sequence.
98
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
x2= x2=
Example Number 2

99. Find the next three terms of the sequence.
99
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
x2= x2= x2=
Example Number 2

100. Find the next three terms of the sequence.
100
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
x2= x2= x2=
Example Number 2

101. Find the next three terms of the sequence.
101
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 ? ? ?
x2= x2= x2= x2=
Example Number 2

102. Find the next three terms of the sequence.
102
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 48 ? ?
x2= x2= x2= x2=
Example Number 2

103. Find the next three terms of the sequence.
103
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 48 ? ?
x2= x2= x2= x2= x2=
Example Number 2

104. Find the next three terms of the sequence.
104
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 48 96 ?
x2= x2= x2= x2= x2=
Example Number 2

105. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 48 96 ?
x2= x2= x2= x2= x2=
Example Number 2
x2=
105

106. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
3 6 12 24 48 96 192
x2= x2= x2= x2= x2=
Example Number 2
x2=
106

107. Find the next three terms of the sequence.
107
3,6,12,24,__, __, __
Example Number 2
Final Answer
48 96 192

108. Find the next three terms of the sequence.
3,6,12,24,__, __, __
Example Number 2
Final Answer
48 96 192
Rule: times 2
108

109. Find the next three terms of the sequence.
1,3,7,15__, __, __
Example Number 3
109

110. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
3-1
110

111. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
3-1
=2
111

112. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
3-1
=2
7-3
112

113. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
3-1
=2
7-3
=4
113

114. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
3-1
=2
7-3
=4
15-7
114

115. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
3-1
=2
7-3
=4
15-7
=8
115

116. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
3-1
=2
7-3
=4
15-7
=8
x2
116

117. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
3-1
=2
7-3
=4
15-7
=8
x2 =
117

118. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
3-1
=2
7-3
=4
15-7
=8
x2 = x2
118

119. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
3-1
=2
7-3
=4
15-7
=8
x2 = x2=
119

120. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
120

121. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
=2
121

122. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 2
x2
=2+1
122

123. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
=2+1=
123

124. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
=2+1=
x2
124

125. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
=2+1=
x2
=6
125

126. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
=2+1=
x2
=6+1
126

127. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
=2+1=
x2
=6+1=
127

128. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
=2+1=
x2
=6+1=
x2
128

129. Find the next three terms of the sequence.
129
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
=2+1=
x2
=6+1=
x2
=14

130. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
=2+1=
x2
=6+1=
x2
=14+1
130

131. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 ? ? ?
Example Number 3
x2
=2+1=
x2
=6+1=
x2
=14+1=
131

132. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 31 ? ?
Example Number 3
x2
=2+1=
x2
=6+1=
x2
=14+1=
X2+1=
132

133. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 31 ? ?
Example Number 3
x2
=2+1=
x2
=6+1=
x2
=14+1=
X2+1=
X2+1=
133

134. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 31 63 ?
Example Number 3
x2
=2+1=
x2
=6+1=
x2
=14+1=
X2+1=
X2+1=
134

135. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 31 63 ?
Example Number 3
x2
=2+1=
x2
=6+1=
x2
=14+1=
X2+1=
X2+1=
X2+1=
135

136. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 31 63 127
Example Number 3
x2
=2+1=
x2
=6+1=
x2
=14+1=
X2+1=
X2+1=
X2+1=
136

137. Find the next three terms of the sequence.
137
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6th
Term
7th
Term
1 3 7 15 31 63 127
Example Number 3
x2
=2+1=
x2
=6+1=
x2
=14+1=
X2+1=
X2+1=
X2+1=

138. Find the next three terms of the sequence.
1,3,7,15,__, __, __
Example Number 3
Final Answer
31 63 127
138

139. Find the next three terms of the sequence.
Example Number 3
Final Answer
Rule: Times 2, Plus 1
1,3,7,15,__, __, __
31 63 127
139

140. Example Number 4
Word Problem
Syd loves to draw stars in his notebook. He
draws 6 stars on first page, 10 stars on the
second page, 14 stars on third page and 18
stars on the fourth page. If this pattern
continues, how many stars will be drawn on
the fifth page of his notebook?
140

141. Example
Number 4
Word Problem
Syd loves to draw stars in his notebook. He draws 6 stars on first
page, 10 stars on the second page, 14 stars on third page and 18
stars on the fourth page. If this pattern continues, how many
stars will be drawn on the fifth page of his notebook?
141
1st Page
6 Stars

142. Example
Number 4
Word Problem
Syd loves to draw stars in his notebook. He draws 6 stars on first
page, 10 stars on the second page, 14 stars on third page and 18
stars on the fourth page. If this pattern continues, how many
stars will be drawn on the fifth page of his notebook?
1st Page
6 Stars
2nd Page
10 Stars
142

143. Example
Number 4
Word Problem
Syd loves to draw stars in his notebook. He draws 6 stars on first
page, 10 stars on the second page, 14 stars on third page and 18
stars on the fourth page. If this pattern continues, how many
stars will be drawn on the fifth page of his notebook?
1st Page
6 Stars
2nd Page
10 Stars
3rd Page
14 Stars
143

144. Example
Number 4
Word Problem
Syd loves to draw stars in his notebook. He draws 6 stars on first
page, 10 stars on the second page, 14 stars on third page and 18
stars on the fourth page. If this pattern continues, how many
stars will be drawn on the fifth page of his notebook?
1st Page
6 Stars
2nd Page
10 Stars
3rd Page
14 Stars
4th Page
18 Stars
144

145. Example
Number 4
Word Problem
Syd loves to draw stars in his notebook. He draws 6 stars on first
page, 10 stars on the second page, 14 stars on third page and 18
stars on the fourth page. If this pattern continues, how many
stars will be drawn on the fifth page of his notebook?
1st Page
6 Stars
2nd Page
10 Stars
3rd Page
14 Stars
4th Page
18 Stars
5th Page
?
145

146. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
10-6
146

147. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
10-6
=4
147

148. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
10-6
=4
14-10
148

149. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
10-6
=4
14-10
=4
149

150. Find the next three terms of the sequence.
150
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
10-6
=4
14-10
=4
18-14

151. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
10-6
=4
14-10
=4
18-14
=4
151

152. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
10-6
=4
14-10
=4
18-14
=4
Rule:
Add 4
152

153. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
+4
153

154. Find the Next Three Terms of the Sequence
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
+4 =
154

155. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
+4 = +4
155

156. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
+4 = +4 =
156

157. Find the next three terms of the sequence.
157
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
+4 = +4 = +4

158. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
+4 = +4 = +4 =
158

159. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 ?
Example Number 3
+4 = +4 = +4 = +4
159

160. Find the next three terms of the sequence.
1st
Term
2nd
Term
3rd
Term
4th
Term
5th
Term
6 10 14 18 22
Example Number 3
+4 = +4 = +4 = +4 =
160

161. Find the next three terms of the sequence.
Example Number 3
Final Answer
Therefore on the 5th page Syd
will draw twenty-two stars.
5th Page
161

162. Find the next three terms of the sequence.
162
Example Number 3
Final Answer
Rule: Add 4
Therefore on the 5th page Syd
will draw twenty-two stars.
5th Page

163. Recap
163
SEQUENCE
It is the list of items that follow a certain pattern.
It is also an ordered set of numbers, letters, shapes or symbols.

164. Recap
164
SEQUENCE
It is the list of items that follow a certain pattern.
It is also an ordered set of numbers, letters, shapes or symbols.
TERM
Each number, letter, shape or symbol in the sequence.

165. Recap
165
SEQUENCE
It is the list of items that follow a certain pattern.
It is also an ordered set of numbers, letters, shapes or symbols.
TERM Each number, letter, shape or symbol in the sequence.
PATTERNS
Patterns in mathematics can be geometric or numeral in nature.

166. Recap
166
Take Note:
In finding the next term in a
sequence, it requires you to identify
what is the pattern in order to
formulate the correct rule.

167. Recap
167
Take Note:
In finding the next term in a sequence, it
requires you to identify what is the pattern
in order to formulate the correct rule.
Example of Rules
add 2 times 2,add 1
add 4

168. Please provide assistance to your children
in accomplishing the activities.
.
Thank you so much!
Dear parents and guardians,
168