TOPIC 8:Sequence and Number Pattern

Sequence and Number Pattern

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.

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”

Example 1: 

1, 4, 7, 10, 13, 16......start at 1 and jumps 3

Example 2:                            

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

This sequence has a difference of 5 between each number and pattern shows to continued by adding 5 to the last number each time, it will shows you: 

Question 1:

1. Find the common difference?

18,26,34,40

Question 2:

3, 10, 17, 24, 31, 38, ...

What is the next number in the above sequence?

A.      43

B.      44

C.      45

D.      46

Question 3:

71, 62, 53, 44, ...

What is the next number in the above sequence?

1.       35
2.       36
3.       37
4.       38