Scroll:Patterns and sequences >> Patterns involving addition and multiplication >> saq (3611)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

What is the next number in this pattern

Rule: multiply by 3, then add 3

 2, 9, 30, 93, 282,



Answer:_______________




2)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 2

 4, 14, 54, 214, 854,



Answer:_______________




3)  

What is the next number in this pattern

Rule: multiply by 3, then add 2

 2, 8, 26, 80, 242,



Answer:_______________




4)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 3

 5, 32, 221, 1544, 10805,



Answer:_______________




5)  

What is the next number in this pattern

Rule: multiply by 2, then add 3

 3, 9, 21, 45, 93,



Answer:_______________




6)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 3

 3, 18, 123, 858, 6003,



Answer:_______________




7)  

What is the next number in this pattern

Rule: multiply by 3, then add 4

 3, 13, 43, 133, 403,



Answer:_______________




8)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 2

 1, 2, 6, 22, 86,



Answer:_______________




9)  

What is the next number in this pattern

Rule: multiply by 4, then add 2

 5, 22, 90, 362, 1450,



Answer:_______________




10)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 4

 4, 12, 44, 172, 684,



Answer:_______________




 

1)  

What is the next number in this pattern

Rule: multiply by 3, then add 3

 2, 9, 30, 93, 282, Answer: 849


SOLUTION 1 :

Rule: multiply by 3, then add 3

Use the rule to find the next number in the pattern. Multiply 282 by 3, then add 3.

(282 × 3) + 3 = 849

The next number in the pattern is 849

The pattern is:

2, 9, 30, 93, 282, 849



2)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 2

 4, 14, 54, 214, 854, Answer: 3414


SOLUTION 1 :

Rule: multiply by 4, then subtract 2

Use the rule to find the next number in the pattern. Multiply 854 by 4, then suubtract 2.

(854 × 4) - 2 = 3414

The next number in the pattern is 3414

The pattern is:

4, 14, 54, 214, 854, 3414



3)  

What is the next number in this pattern

Rule: multiply by 3, then add 2

 2, 8, 26, 80, 242, Answer: 728


SOLUTION 1 :

Rule: multiply by 3, then add 2

Use the rule to find the next number in the pattern. Multiply 242 by 3, then add 2.

(242 × 3) + 2 = 728

The next number in the pattern is 728

The pattern is:

2, 8, 26, 80, 242, 728



4)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 3

 5, 32, 221, 1544, 10805, Answer: 75632


SOLUTION 1 :

Rule: multiply by 7, then subtract 3

Use the rule to find the next number in the pattern. Multiply 10805 by 7, then suubtract 3.

(10805 × 7) - 3 = 75632

The next number in the pattern is 75632

The pattern is:

5, 32, 221, 1544, 10805, 75632



5)  

What is the next number in this pattern

Rule: multiply by 2, then add 3

 3, 9, 21, 45, 93, Answer: 189


SOLUTION 1 :

Rule: multiply by 2, then add 3

Use the rule to find the next number in the pattern. Multiply 93 by 2, then add 3.

(93 × 2) + 3 = 189

The next number in the pattern is 189

The pattern is:

3, 9, 21, 45, 93, 189



6)  

What is the next number in this pattern

Rule: multiply by 7, then subtract 3

 3, 18, 123, 858, 6003, Answer: 42018


SOLUTION 1 :

Rule: multiply by 7, then subtract 3

Use the rule to find the next number in the pattern. Multiply 6003 by 7, then suubtract 3.

(6003 × 7) - 3 = 42018

The next number in the pattern is 42018

The pattern is:

3, 18, 123, 858, 6003, 42018



7)  

What is the next number in this pattern

Rule: multiply by 3, then add 4

 3, 13, 43, 133, 403, Answer: 1213


SOLUTION 1 :

Rule: multiply by 3, then add 4

Use the rule to find the next number in the pattern. Multiply 403 by 3, then add 4.

(403 × 3) + 4 = 1213

The next number in the pattern is 1213

The pattern is:

3, 13, 43, 133, 403, 1213



8)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 2

 1, 2, 6, 22, 86, Answer: 342


SOLUTION 1 :

Rule: multiply by 4, then subtract 2

Use the rule to find the next number in the pattern. Multiply 86 by 4, then suubtract 2.

(86 × 4) - 2 = 342

The next number in the pattern is 342

The pattern is:

1, 2, 6, 22, 86, 342



9)  

What is the next number in this pattern

Rule: multiply by 4, then add 2

 5, 22, 90, 362, 1450, Answer: 5802


SOLUTION 1 :

Rule: multiply by 4, then add 2

Use the rule to find the next number in the pattern. Multiply 1450 by 4, then add 2.

(1450 × 4) + 2 = 5802

The next number in the pattern is 5802

The pattern is:

5, 22, 90, 362, 1450, 5802



10)  

What is the next number in this pattern

Rule: multiply by 4, then subtract 4

 4, 12, 44, 172, 684, Answer: 2732


SOLUTION 1 :

Rule: multiply by 4, then subtract 4

Use the rule to find the next number in the pattern. Multiply 684 by 4, then suubtract 4.

(684 × 4) - 4 = 2732

The next number in the pattern is 2732

The pattern is:

4, 12, 44, 172, 684, 2732