Tuesday, 4 October 2011

Weds Oct 4th – Generating a sequence from the nth term rule

LEARNING OBJECTIVE: Understanding and use nth term rules to generate and describe sequences

SUCCESS CRITERIA: You will be able to generate a sequence given its nth term rule and also be able to work out and nth term rule from a sequence

STARTER: Have a go at this starter

LESSON: Look at these sequences

Can we work out the 100th term?

Can we work out any term just by knowing what position it is in?

 Copy and Complete these sequences:

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

100th 

11 

  

  

  

... 

???? 

 
 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

100th 

12 

17 

22 

27 

  

  

  

... 

???? 


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

100th 

-2 

10 

  

  

  

... 

???? 


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

4

6

8

10

12

  

  

  

... 

  

      


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

-1

2

5

9

13

17

  

  

... 

  

      


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

11

21

31

41

51

  

  

  

... 

  

      


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

9

14

19

24

29

  

  

  

... 

  

      


 


 


 


1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

-2

2

6

10

14

  

  

  

... 

  

      


 


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

2.5

5

4.5

10

12.5

  

  

  

... 

  

      


 


 


 

1st

2nd

3rd

4th

5th

6th

7th

8th 

... 

20th

100th

15 

21 

27 

33 

  

  

  

... 

  

      


 


 


 

Use above answers to establish a method of working out the nth term rule. Use this Mymthas Lesson if Necessary.

What is the nth Term for each of these sequences:

  • 2, 4, 6, 8, 10.....
  • 3, 8, 13, 18, 23, 28, ...
  • 6, 8, 10, 12, 14
  • 3, 7, 11, 15, 19, 23
  • -1, 0, 1, 2, 3, 4
  • -1, -2, -3, -4, -5, -6
  • -2, -4, -6, -8, -10
  • 1, 6, 11, 16, 21, 26,


     

PLENARY: Checking Answers, feedback from students on confidence using 5 finger feedback

No comments:

Post a Comment