Patterns

1.1  Patterns
 
  Definition  
     
  Patterns are list of numbers or objects arranged based on a rule or design.  
 
Patterns of various set of numbers
 
(i)   Even numbers and odd numbers
     
    Even numbers are referring to the numbers that are divisible by \(2\)
    Example: \(2,4,6,8,10,12,14,....\)
     
    Odd numbers are referring to the numbers that are not divisible by \(2\).
    Example: \(1,3,7,9,11,13,15,...\)
     
(ii)   Pascal's Triangle
     
   
  • To build Pascal's Triangle, always start with \(1\) at the top.
  • All rows will start and end with \(1\).
  • The number on the next row is determined by adding the numbers on the previous row.
   

Example:

     
(iii)   Fibonacci Numbers
     
   

It is a pattern of numbers in a sequence.

The sequence starts with \(0,1,1\).

The next term is obtained by adding the two previous terms.

     
   

Example:

 

 

Patterns

1.1  Patterns
 
  Definition  
     
  Patterns are list of numbers or objects arranged based on a rule or design.  
 
Patterns of various set of numbers
 
(i)   Even numbers and odd numbers
     
    Even numbers are referring to the numbers that are divisible by \(2\)
    Example: \(2,4,6,8,10,12,14,....\)
     
    Odd numbers are referring to the numbers that are not divisible by \(2\).
    Example: \(1,3,7,9,11,13,15,...\)
     
(ii)   Pascal's Triangle
     
   
  • To build Pascal's Triangle, always start with \(1\) at the top.
  • All rows will start and end with \(1\).
  • The number on the next row is determined by adding the numbers on the previous row.
   

Example:

     
(iii)   Fibonacci Numbers
     
   

It is a pattern of numbers in a sequence.

The sequence starts with \(0,1,1\).

The next term is obtained by adding the two previous terms.

     
   

Example: