Scroll:Patterns and sequences >> Increasing growth patterns >> saq (3495)

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:

1,    2,    4,    7,    11,    16,    22,


Answer:_______________




2)  

 How would you show this pattern using letters

147147147


How would you show this pattern using letters







Answer:_______________




3)  

 Type the next number in this sequence:

1,    3,    6,    10,    15,    21,    28,


Answer:_______________




4)  

 Type the next number in this sequence:

1,    2,    4,    7,    11,    16,    22,


Answer:_______________




5)  

 Type the next number in this sequence:

1,    3,    6,    10,    15,


Answer:_______________




6)  

 Type the next number in this sequence:

1, 2, 4, 7, 11,


Answer:_______________




7)  

 Type the next number in this sequence:

 
 1,    3,    6,    10,    15,    21,


Answer:_______________




8)  

 Type the next number in this sequence:

1,    3,    6,    10,    15,   


Answer:_______________




9)  

 Type the next number in this sequence:

1,    2,    4,    7,    11,    16,    22,


Answer:_______________




10)  

 How would you show this pattern using letters

149149149


How would you show this pattern using letters







Answer:_______________




 

1)  

 Type the next number in this sequence:

1,    2,    4,    7,    11,    16,    22, Answer: 29


SOLUTION 1 :

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




1, 2, 4, 7, 11, 16, 22,
                     
    + 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: 




1, 2, 4, 7, 11, 16, 22, 29
                     
    + 1   + 2   + 3   + 4   + 5   + 6   + 7






The next number is 29. 



2)  

 How would you show this pattern using letters

147147147


How would you show this pattern using letters





Answer: 4



SOLUTION 1 :

 First, find the pattern:

 

147147147

 


The part of the pattern that repeats is called the pattern unit. The pattern unit for this pattern is:

147


This pattern unit contains 3 different numbers. Write the letter A for the first number. Write the letter B for the second number, and write the letter C for the third number. The pattern unit shows each number once.


You describe this pattern by: ABC



3)  

 Type the next number in this sequence:

1,    3,    6,    10,    15,    21,    28, Answer: 36


SOLUTION 1 :

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

1,3,6,10,15,21,28,
             
  + 2 + 3 + 4 + 5 + 6 + 7  



The amount you add increases by 1 each time. You should add 8 the next time. Add 8 to 28 to find the next number: 

1,3,6,10,15,21,28,36
             
  + 2 + 3 + 4 + 5 + 6 + 7 + 8



The next number is 36. 



4)  

 Type the next number in this sequence:

1,    2,    4,    7,    11,    16,    22, Answer: 29


SOLUTION 1 :

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




1, 2, 4, 7, 11, 16, 22,
                     
    + 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: 




1, 2, 4, 7, 11, 16, 22, 29
                     
    + 1   + 2   + 3   + 4   + 5   + 6   + 7






The next number is 29.



5)  

 Type the next number in this sequence:

1,    3,    6,    10,    15, Answer: 21


SOLUTION 1 :

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

1, 3, 6, 10, 15,
                 
    + 2   + 3   + 4   + 5    



The amount you add increases by 1 each time. You should add 6 the next time. Add 6 to 15 to find the next number: 

1, 3, 6, 10, 15, 21
                 
    + 2   + 3   + 4   + 5   + 6



The next number is 21.



6)  

 Type the next number in this sequence:

1, 2, 4, 7, 11, Answer: 16


SOLUTION 1 :

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

1, 2, 4, 7, 11,
                 
    + 1   + 2   + 3   + 4    



The amount you add increases by 1 each time. You should add 5 the next time. Add 5 to 11 to find the next number: 

1, 2, 4, 7, 11, 16
                 
    + 1   + 2   + 3   + 4   + 5



The next number is 16.



7)  

 Type the next number in this sequence:

 
 1,    3,    6,    10,    15,    21, Answer: 28


SOLUTION 1 :

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




1, 3, 6, 10, 15, 21,
                   
    + 2   + 3   + 4   + 5   + 6    






The amount you add increases by 1 each time. You should add 7 the next time. Add 7 to 21 to find the next number: 




1, 3, 6, 10, 15, 21, 28
                   
    + 2   + 3   + 4   + 5   + 6   + 7






The next number is 28. 



8)  

 Type the next number in this sequence:

1,    3,    6,    10,    15, Answer: 21   


SOLUTION 1 :

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

1, 3, 6, 10, 15,
                 
    + 2   + 3   + 4   + 5    



The amount you add increases by 1 each time. You should add 6 the next time. Add 6 to 15 to find the next number: 

1, 3, 6, 10, 15, 21
                 
    + 2   + 3   + 4   + 5   + 6


9)  

 Type the next number in this sequence:

1,    2,    4,    7,    11,    16,    22, Answer: 29


SOLUTION 1 :

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




1, 2, 4, 7, 11, 16, 22,
                     
    + 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: 




1, 2, 4, 7, 11, 16, 22, 29
                     
    + 1   + 2   + 3   + 4   + 5   + 6   + 7






The next number is 29. 



10)  

 How would you show this pattern using letters

149149149


How would you show this pattern using letters





Answer: 4



SOLUTION 1 :

 First, find the pattern:

 

149149149

 


The part of the pattern that repeats is called the pattern unit. The pattern unit for this pattern is:

149


This pattern unit contains 3 different numbers. Write the letter A for the first number. Write the letter B for the second number, and write the letter C for the third number. The pattern unit shows each number once.


You describe this pattern by: ABC