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Class: Eight (VIII)

Exercise: 1 (Patterns)


1. a) Find the next four consecutive numbers of the following list: 1, 3, 5, 7, 9, ... .. .


Solution:


Numbers in the list: 1, 3, 5, 7, 9, ... .. .
Difference:                2  2  2  2

Note that every time the difference is 2. Hence the next four numbers are 9 + 2 = 11, 11 + 2 = 13, 13 + 2 = 15 and 15 + 2 = 17.


1. b) Find the next four consecutive numbers of the following list: 4, 8, 12, 16, 16, 20 ... .. .


Solution:


Numbers in the list: 4, 8, 12, 16, 20, ... .. .
Difference:                 4  4  4  4  4

Note that every time the difference is 4. Hence the next four numbers are 20 + 2 = 24, 24 + 4 = 28, 28 + 4 =32 and 32 + 4 = 36.

1. c) Find the next four consecutive numbers of the following list: 5, 10, 15, 20, 25, ... .. .


Solution:


Numbers in the list: 5, 10, 15, 20, 25, ... .. .
Difference:                 5    5    5    5

Note that every time the difference is 5. Hence the next four numbers are 25 + 5 = 30, 30 + 5 = 35, 35 + 5 =40 and 40 + 5= 45.

1. d) Find the next four consecutive numbers of the following list: 7, 14, 21, 28, 35, ... .. .


Solution:


Numbers in the list: 7, 14, 21, 28, 35, ... .. .
Difference:                 7    7    7    7

Note that every time the difference is 7. Hence the next four numbers are 35 + 7 = 42, 42 + 7 = 49, 49 + 7 =56 and 56 + 7= 63.

1. e) Find the next four consecutive numbers of the following list: 8, 16, 24, 32, 40, ... .. .


Solution:


Numbers in the list: 8, 16, 24, 32, 40, ... .. .
Difference:                 8    8    8    8

Note that every time the difference is 8. Hence the next four numbers are 40 + 8 = 48, 48 + 8 = 56, 56 + 8 =64 and 64 + 8= 72.

1. f) Find the next four consecutive numbers of the following list: 6, 12, 18, 24, 30, ... .. .


Solution:


Numbers in the list: 6, 12, 18, 24, 30, ... .. .
Difference:                 6    6    6    6

Note that every time the difference is 6. Hence the next four numbers are 30 + 6 = 36, 36 + 6 = 42, 42 + 6 =48 and 48 + 6= 54.

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