Linear Sequence

 What is a sequence?

A sequence is a list of numbers that follow a pattern.

What is a linear sequence?

A linear sequence is a list of numbers that increases or decreases by the same

amount each time.

Example 1: Increase 

11, 14 ,17,20,23,26...

The  differences for the number pattern

11

14

17

20

23

26

...

    

are

3

3

3

3

3

the next number is 29, 32..( add 3 to the next number )

 Example 2: Decrease 

18,   16,   14,   12,   10, ...

    

  -2     -2     -2    -2   -2

-2 the last number then you will get the next number 8, 6,4...

if the pattern difference is not same then you can use the following trick

 Example 3 : 3, 7, 15, 27, 43, ...., .... , ....

3, 7, 15, 27, 43 ...., .... , ....

    

  4     8     12   16   20

so the next number is 63,( 20+43) ;  87( 63+24) ; 115(87+28)

( How to find N term we will learn in next level)

Exercise: Find out next two terms of the following terms 

1. 7,13,19,25,31,...
2. 2,7,12,17,22,27,...
3. 34, 56, 78, 100, 122, .
4. 1, 20, 39, 58, 77, ...
5. 1, 6, 11, , 21, 26, 31
6. 5, 10, 17, 26...