1. Starter

2. Matchstick Sequences

3. Nth Term
WALT: To be able to generate the nth term from a linear sequence.
WILF: Work confidently with differences and negative numbers.
Keywords
Sequence
Nth term
Linear
Difference

4. Sequences

5. Mark your answers!

6. Mark your answers!
What is happening?

7. Mark your answers!
Complete the rest of the sheet by calculating the nth term from the sequence.

8. Mark your answers!

9. Learning Check
Find the nth term :
5, 11, 17, 23, 29

10. Learning Check
Find the nth term :
4, 1, -2, -5, -8

11. Questions Find the nth term: 1, 4, 7, 10, 13 10, 14, 18, 22, 26
2, 1, 0, -1, -2
12, 14, 16, 18, 20
-3, 2, 7, 12, 17
8, 14, 20, 26, 32
6, 2, -2, -6, -10
7, 1, -5, -11, -17
Find missing terms then the nth term:
3, 6, 9, 12, __, __, 21
6, 11, 16, 21, __, __, 36
51, 48, 45, 42, __, __, 33
40, 34, 28, 22, __, __, 4
9, 17, 25, 33, __, __,57
7, 18, 29, 40, __, __, 73
__, __, 41, 36, 31, 26, 21
25, 31, 37, 43, __, __, 61

12. Which sequences include the number 24…

13. Answers Mark in green pen! Find the nth term: 3n - 2 4n + 6 3 - n
Find missing terms then the nth term:
3, 6, 9, 12, 15, 18, n
6, 11, 16, 21, 26, 31, n+1
51, 48, 45, 42, 39, 36, n +54
40, 34, 28, 22, 16, 10, n +46
9, 17, 25, 33, 41, 49, n + 1
7, 18, 29, 40, 51, 62, n - 4
51, 46, 41, 36, 31, 26, n + 56
25, 31, 37, 43, 49, 55, n +19

14. Nth term BINGO!!!

15. Plenary Exam Question Practice
a) Write down the 10th term of the sequence which begins
3, 7, , ,
Write down an expression for the nth term of this
sequence.
c) Show that 1997 cannot be a term in this sequence.

16. Plenary Exam Question Practice
a) Write down the 10th term of the sequence which begins
3, 7, , , 19
Write down an expression for the nth term of this
sequence.
n –
c) Show that 1997 cannot be a term in this sequence.
4n – 1 = 1997
4n = and 1998 isn't divisible by 4