TOPIC 8 : SEQUENCE AND NUMBER PATTERN

A 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”

We can also create sequences based on geometric objects:

					Triangle Numbers Pattern: “add increasing integers to get the next number”
1	3	6	10	15

					Square Numbers Pattern: “add increasing odd numbers to get the next number”
1	4	9	16	25

SO THIS ARE THE EXAMPLES:

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:

🔔ITS TIME TO ANSWERS ALL THIS QUESTIONS🔔

  

1. Find the common difference?

                   

                                                  19, 27, 35, 43

2. Here is a number pattern. What is the missing number?

11, 17, 23,  ? , 35, 41

3. Here is a number pattern. What is the missing number?

                                                       63, 55, 47,  ? , 31, 23