1. Quadratic Sequences L.O.
All pupils can find nth term of an arithmetic sequence
All pupils can list the sequence using the nth term
Some pupils can find the nth term of a quadratic sequence

2. Starter: nth term of arithmetic and geometric sequences
list the sequence using the nth term

3. Quadratic Sequences L.O.
All pupils can find nth term of an arithmetic sequence
All pupils can list the sequence using the nth term
Some pupils can find the nth term of a quadratic sequence

4. What’s the problem in this sequence?
Main:
find the nth term of a quadratic sequence
What is the nth term of:
-1, 5, 15, 29, 47?
What’s the problem in this sequence?
None of these
6n-7 A) B)
-1n +6
6-1n C) D)

5. What is the nth term of: -1, 5, 15, 29, 47?
Main:
nth term of a quadratic sequence
What is the nth term of: -1, 5, 15, 29, 47?

6. nth term of a quadratic sequence
Main:
nth term of a quadratic sequence
What is the nth term of:
-1, 5, 15, 29, 47?
n =
Sequence =
1st difference =
2nd difference =

7. What could we call this type of sequence?
Main:
nth term of a quadratic sequence
What could we call this type of sequence?

8. What is the general form of the equation for this type of sequence?
Main:
nth term of a quadratic sequence
What is the general form of the equation for this type of sequence?

9. The nth term of a quadratic sequence is always in the form
Main:
nth term of a quadratic sequence
The nth term of a quadratic sequence is always in the form
an2 + bn + c
Match the sequences on the other board to the correct ‘a’ value

10. The nth term of a quadratic sequence is always in the form
Main:
nth term of a quadratic sequence
The nth term of a quadratic sequence is always in the form
an2 + bn + c
Is found using the second differences and dividing by 2

11. Find the ‘second differences’. Which value do we use for ‘a’?
Main:
nth term of a quadratic sequence
Find the ‘second differences’. Which value do we use for ‘a’?
1, 4, 9, 16, 25
4, 10, 20, 34, 52
4, 13, 28, 49, 76
Can you find the next 2 terms?

12. The nth term of a quadratic sequence is always in the form
Main:
nth term of a quadratic sequence
The nth term of a quadratic sequence is always in the form
an2 + bn + c
How do we find this part of the formula?

13. 2n2 - 3 Main: nth term of a quadratic sequence
Find the difference between these sequences.
In other words how close did we come?
n =
Sequence =
1st difference =
4 ÷ 2 = 2
Sequence has 2n2
2nd difference =
2n2 =
Our sequence was off by -3.
2n2 - 3
Since we were off by -3 the nth term is:

14. nth term of a quadratic sequence
Main:
nth term of a quadratic sequence
n =
Sequence =
1st difference =
4 ÷ 2 = 2
Sequence has 2n2
2nd difference =
2n2 =
2n2 - 3
Since we were off by -3 the nth term is:

15. nth term of a quadratic sequence
Main:
nth term of a quadratic sequence
n =
Sequence =
1st difference =
6 ÷ 2 = 3
Sequence has 3n2
2nd difference =
3n2 =
Therefore the nth term = 3n2 + 2

16. Find the nth term of these sequences
Main:
nth term of a quadratic sequence
Find the nth term of these sequences
CORE
Answers
2n2 + 3
3n2 - 2
2n2 + 4
n2 - 1
n2- 3n- 1
5, 11, 21, 35, 53
1, 10, 25, 46, 73
6, 12, 22, 36, 54
0, 3, 8, 15, 24
5) 3, 9, 17, 27, 39
EXT
KILLER

17. nth term of a quadratic sequence
Main:
nth term of a quadratic sequence
Equations of lines, graphs and sequences? are all just different ways of displaying…

18. Quadratic Sequences L.O.
All pupils can find nth term of an arithmetic sequence
All pupils can list the sequence using the nth term
Some pupils can find the nth term of a quadratic sequence

20. What Went Well?
Even Better If?

21. Quadratic Sequences L.O.
All pupils can find nth term of an arithmetic sequence
All pupils can list the sequence using the nth term
Some pupils can find the nth term of a quadratic sequence