Solved Examples and Worksheet for Writing Numeric Patterns given the Rule
A. 308, 320, 332, 344
B. 305, 306, 307, 308
C. 300, 301, 302, 303
D. 300, 312, 324, 336
Step: 1
308, 320, 332, 344, . . .
[Add 12 to each term repeatedly to
obtain the succeeding terms.]
Step: 2
So, the first 4 terms of the sequence are 308, 320, 332, 344.
Correct Answer is : 308, 320, 332, 344
A. 204, 124, 64, 4
B. 256, 126, 60, 4
C. 1024, 256, 64, 16
D. 212, 24, 16, 4
Step: 1
The series obtained for the given rule is 1024, 256, 64, 16, . . .
Step: 2
So, the first four terms of the series are 1024, 256, 64, and 16.
Correct Answer is : 1024, 256, 64, 16
"Start with 37 and add 9 to the number before it."
A. 28, 37, 46, 55, ...
B. 37, 46, 55, 63, ...
C. 37, 46, 55, 64, ...
D. 37, 45, 54, 63, ...
Step: 1
Pattern starts with 37 and to get the next number add 9 to the number before it.
Step: 2
So, among the choices '37, 46, 55, 64, ...' is the correct pattern that describes the given rule.
Correct Answer is : 37, 46, 55, 64, ...
A. 121, 126, 131, 136
B. 106, 101, 96, 91
C. 121, 116, 111, 106
D. 121, 106, 101, 96
Step: 1
The series obtained for the given rule is 121, 116, 111, 106, . . .
Step: 2
So, the first four terms of the series are 121, 116, 111, and 106.
Correct Answer is : 121, 116, 111, 106
A. 625, 25, 5, 1, ...
B. 625, 125, 25, 5, ...
C. 1, 25, 125, 625, ...
D. 625, 125, 25, 1, ...
Step: 1
Pattern starts with 625 and to get the next number divide by 5 repeatedly.
Step: 2
So, among the choices '625, 125, 25, 5, ...' is the correct pattern that describes the given rule.
Correct Answer is : 625, 125, 25, 5, ...
A. 3, 9, 27, 81
B. 3, 6, 9, 12
C. 3, 9, 18, 36
D. 3, 6, 12, 24
Step: 1
The series obtained by applying the given rule is 3, 9, 27, 81, . . .
Step: 2
So, the first four terms of the series are 3, 9, 27, and 81.
Correct Answer is : 3, 9, 27, 81
"Start with 4 and multiply by 5 to get the next number."
A. 4, 20, 40, 100, . . .
B. 4, 20, 100, 500, . . .
C. 4, 20, 60, 80, . . .
D. 4, 20, 80, 320, . . .
Step: 1
Step: 2
Among the choices '4, 20, 100, 500, . . .' is the sequence that describes the given pattern.
Correct Answer is : 4, 20, 100, 500, . . .
'Start with 7776 and divide by 6 repeatedly'.
A. 7776, 24,18, 12
B. 7776, 216, 36, 6
C. 7776, 1296, 216, 36
D. 7776, 1296, 216, 6
Step: 1
The sequence obtained applying the given pattern is 7776, 1296, 216, 36, . . .
Step: 2
So, the first four terms of the pattern are 7776, 1296, 216 and 36.
Correct Answer is : 7776, 1296, 216, 36
"Start with 33 and add 4 to the number before it."
A. 33, 37, 41, 44, . . .
B. 33, 37, 41, 45, . . .
C. 29, 37, 41, 45, . . .
D. 37, 41, 45, 49, . . .
Step: 1
Pattern starts with 33 and to get the next number add 4 to the number before it.
Step: 2
Among the choices '33, 37, 41, 45, . . .' are the first four terms of the given pattern.
Correct Answer is : 33, 37, 41, 45, . . .
A. 112, 118, 124, 130
B. 124, 129, 112, 106
C. 124, 112, 118, 106
D. 124, 118, 112, 106
Step: 1
The sequence obtained for the given pattern is 121, 116, 111, 106, . . .
Step: 2
So, the first four terms of the pattern are 121, 116, 111 and 106.
Correct Answer is : 124, 118, 112, 106
A. 2401, 49, 7, 1, . . .
B. 1, 49, 343, 2401, . . .
C. 2401, 343, 49, 1, . . .
D. 2401, 343, 49, 7, . . .
Step: 1
Pattern starts with 2401 and to get the next number divide by 7 repeatedly.
Step: 2
Among the choices ′2401, 343, 49, 7, . . .′ are the first four terms of the given pattern.
Correct Answer is : 2401, 343, 49, 7, . . .
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