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 |
3 | 5 | 7 | 9 | 11 |
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|
| ... | ???? |
1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | ... | 100th |
7 | 12 | 17 | 22 | 27 |
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|
| ... | ???? |
1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | ... | 100th |
-2 | 1 | 4 | 7 | 10 |
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| ... | ???? |
1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | ... | 20th | 100th |
4 | 6 | 8 | 10 | 12 |
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| ... |
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1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | ... | 20th | 100th |
-1 | 2 | 5 | 9 | 13 | 17 |
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| ... |
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1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | ... | 20th | 100th |
11 | 21 | 31 | 41 | 51 |
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| ... |
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1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | ... | 20th | 100th |
9 | 14 | 19 | 24 | 29 |
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| ... |
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| 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | ... | 20th | 100th |
-2 | 2 | 6 | 10 | 14 |
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| ... |
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1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | ... | 20th | 100th |
2.5 | 5 | 4.5 | 10 | 12.5 |
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| ... |
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1st | 2nd | 3rd | 4th | 5th | 6th | 7th | 8th | ... | 20th | 100th |
9 | 15 | 21 | 27 | 33 |
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| ... |
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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
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