Sequence and Number Pattern

Introduction of sequence and number pattern

In mathematics, a sequence is an ordered list of objects. Like a set, it contains members (also called elements or terms). The number of ordered elements (possibly infinite) is called the length of the sequence. Unlike a set, order matters, and a particular term can appear multiple times at different positions in the sequence. 


AND NOW !

sequence, in mathematics, is a string of objects, like numbers, that follow a particular pattern. The individual elements in a sequence are called terms. Some of the simplest sequences can be found in multiplication tables:

  • 3, 6, 9, 12, 15, 18, 21, …
    Pattern: “add 3 to the previous number to get the next number”
  • 0, 12, 24, 36, 48, 60, 72, …
    Pattern: “add 12 to the previous number to get the next number”

sequence 3,5,7,9,...

























1, 4, 7, 10, 13, 16, 19, 22, 25, ...
This sequence has a difference of 3 between each number. 
The pattern is continued by adding 3 to the last number each time, as shown above



EXAMPLE 2 ⇶                               

                                                           3, 8. 13, 18, 23, 28, 33, 38, ...

                               This sequence has a difference of 5 between each number. 

The pattern is continued by adding 5 to the last number each time, like this:



Question : 
1. Find the common difference?
18,26,34,40


2. Here is a number pattern. What is the missing number? 
20,35,50,?65,80


3. Here is a number pattern. What is the missing number? 
  63, 55, 47,  ? , 31, 23

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