Linear Sequences and Rules

What is a Linear sequence(nth term)?

A linear sequence goes up by the same amout every time.

T= 5-2n What is the answer when n= 2?

1

T= 0.5n -2 What is the answer when n= 2?

-1

T= 5-2n What is the answer when n= 8?

-11

T= 5-2n What is the answer when n= 10?

-15

4,3,2,1

-1n+5

25,23,21,19

-2n+21

14,11,8,5,2..

-3n + 17

7,4,1,-2

-3n+1

T= -3n+1 What is the answer when n= 2?

-5

-1.5,-1.0,-0.5, 0....

0.5n -2

8,6,4,2,0,-2...

10-2n

101,201,301,401

100n+1

11,21,31,41

10n+1

T= 3n+4 What is the answer when n= 3?

13

T= 5-2n What is the answer when n= -5?

15

1,2,3,4

1n

101,102,103,104

1n+100

0,1,2,3

1n-1

T= 5n+10 What is the answer when n= 2?

20

T= 3n-1 What is the answer when n= 10?

29

4,6,8,10

2n+2

5,7,9,11

2n+3

7,9,11,13

2n+5

0,2,4,6

2n-2

7,10,13,16,19

3n + 4

5,8,11,14

3n+2

2,5,8,11

3n-1

T= 5-0.5n What is the answer when n= 2?

4

T= 5n+10 What is the answer when n= 6?

40

4,8,14,16

4n

7,11,15,19

4n+3

-1,3,7,11

4n-5

T= 3n-1 What is the answer when n= 2?

5

3,1,-1,-3,-5..

5-2n

15,20,25,30

5n+10

4,9,14,19

5n+10

T= 10-2n What is the answer when n= 2?

6

1,7,13,19

6n-5

T= 5n+10 What is the answer when n= 12?

70

T= 5n+10 What is the answer when n= 25?

85

T= 3n-1 What is the answer when n= 30?

89

T= n+4 What is the answer when n= 5?

9

Nth term

the general rule for a number sequence