#### Solved Examples and Worksheet for Writing Numeric Patterns given the Rule

Q1Identify the first four terms of the pattern with the rule given as 'Start with 308 and add 12 repeatedly'.
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
Q2Identify the first 4 terms of the sequence with the rule given as 'Start with 1024 and divide by 4 repeatedly'.
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
Q3Identify the pattern that describes the rule.
"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, ...
Q4Identify the first 4 terms of the sequence with the rule given as ′Start with 121 and subtract by 5 repeatedly.′

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
Q5Identify the first 4 terms of the sequence with the rule given as "Start with 625 and divide by 5 repeatedly."

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, ...
Q6Find the first four terms of the series with the rule given as 'Start with 3 and multiply with 3 repeatedly'.

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
Q7Identify the sequence that describes the pattern.
"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, . . .
Q8Find the first four terms of the pattern.
'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
Q9Identify the first four terms of the sequence with the pattern.
"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, . . .
Q10Identify the first 4 terms of the sequence with the pattern given as ′Start with 124 and subtract by 6 repeatedly′.
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
Q11Identify the first 4 terms of the sequence with the pattern given as ″Start with 2401 and divide by 7 repeatedly.″
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, . . .