Scroll:Patterns and sequences >> Increasing growth patterns >> saq (3610)

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)  

 Type the next number in this sequence:

 3, 4, 6, 9, 13, 18, 24,


Answer:_______________




2)  

 Type the next number in this sequence:

 4, 4, 6, 10, 16, 24,


Answer:_______________




3)  

 Type the next number in this sequence:

 1, 3, 7, 13, 21, 31, 43,


Answer:_______________




4)  

 Type the next number in this sequence:

 3, 4, 7, 12, 19,


Answer:_______________




5)  

 Type the next number in this sequence:

 4, 5, 7, 10, 14, 19, 25,


Answer:_______________




6)  

 Type the next number in this sequence:

 3, 3, 5, 9, 15, 23,


Answer:_______________




7)  

 Type the next number in this sequence:

 4, 6, 10, 16, 24, 34, 46,


Answer:_______________




8)  

 Type the next number in this sequence:

 4, 5, 8, 13, 20,


Answer:_______________




9)  

 Type the next number in this sequence:

 5, 6, 8, 11, 15, 20, 26,


Answer:_______________




10)  

 Type the next number in this sequence:

 2, 2, 4, 8, 14, 22,


Answer:_______________




 

1)  

 Type the next number in this sequence:

 3, 4, 6, 9, 13, 18, 24, Answer: 31


SOLUTION 1 :

 Find the pattern. Look at how much you add to each number to get the next number: 

3469131824
             
  + 1 + 2 + 3 + 4 + 5 + 6  



The amount you add increases by 1 each time. You should add 7 the next time. Add 7 to 22 to find the next number: 

346913182431
             
  + 1 + 2 + 3 + 4 + 5 + 6 + 7



The next number is 31. 



2)  

 Type the next number in this sequence:

 4, 4, 6, 10, 16, 24, Answer: 34


SOLUTION 1 :

 Type the next number in this sequence:

 4, 4, 6, 10, 16, 24, {short:num7}

 



3)  

 Type the next number in this sequence:

 1, 3, 7, 13, 21, 31, 43, Answer: 57


SOLUTION 1 :

Find the pattern. Look at how much you add to each number to get the next number: 
 

13713213143
             
  + 2 + 4 + 6 + 8 + 10 + 12  



The amount you add increases by 2 each time. You should add 14 the next time. Add 14 to 43 to find the next number: 
 

1371321314357
             
  + 2 + 4 + 6 + 8 + 10 + 12 + 14



The next number is 57.



4)  

 Type the next number in this sequence:

 3, 4, 7, 12, 19, Answer: 28


SOLUTION 1 :

 Find the pattern. Look at how much you add to each number to get the next number:

3471228
           
  + 1 + 3 + 5 + 7  

 


The amount you add increases by 2 each time. You should add 9 the next time. 

347121928
           
  + 1 + 3 + 5 + 7 + 9

 

The next number is 28.



5)  

 Type the next number in this sequence:

 4, 5, 7, 10, 14, 19, 25, Answer: 32


SOLUTION 1 :

 Find the pattern. Look at how much you add to each number to get the next number: 

45710141925
             
  + 1 + 2 + 3 + 4 + 5 + 6  



The amount you add increases by 1 each time. You should add 7 the next time. Add 7 to 22 to find the next number: 

4571014192532
             
  + 1 + 2 + 3 + 4 + 5 + 6 + 7



The next number is 32. 



6)  

 Type the next number in this sequence:

 3, 3, 5, 9, 15, 23, Answer: 33


SOLUTION 1 :

 Type the next number in this sequence:

 3, 3, 5, 9, 15, 23, {short:num7}

 



7)  

 Type the next number in this sequence:

 4, 6, 10, 16, 24, 34, 46, Answer: 60


SOLUTION 1 :

Find the pattern. Look at how much you add to each number to get the next number: 
 

461016243446
             
  + 2 + 4 + 6 + 8 + 10 + 12  



The amount you add increases by 2 each time. You should add 14 the next time. Add 14 to 46 to find the next number: 
 

46101624344660
             
  + 2 + 4 + 6 + 8 + 10 + 12 + 14



The next number is 60.



8)  

 Type the next number in this sequence:

 4, 5, 8, 13, 20, Answer: 29


SOLUTION 1 :

 Find the pattern. Look at how much you add to each number to get the next number:

4581329
           
  + 1 + 3 + 5 + 7  

 


The amount you add increases by 2 each time. You should add 9 the next time. 

458132029
           
  + 1 + 3 + 5 + 7 + 9

 

The next number is 29.



9)  

 Type the next number in this sequence:

 5, 6, 8, 11, 15, 20, 26, Answer: 33


SOLUTION 1 :

 Find the pattern. Look at how much you add to each number to get the next number: 

56811152026
             
  + 1 + 2 + 3 + 4 + 5 + 6  



The amount you add increases by 1 each time. You should add 7 the next time. Add 7 to 22 to find the next number: 

5681115202633
             
  + 1 + 2 + 3 + 4 + 5 + 6 + 7



The next number is 33. 



10)  

 Type the next number in this sequence:

 2, 2, 4, 8, 14, 22, Answer: 32


SOLUTION 1 :

 Type the next number in this sequence:

 2, 2, 4, 8, 14, 22, {short:num7}