1. for a patterned sequence and use it to generate terms in that sequence
Good morning!
L.O.
Find the nth term rule
for a patterned sequence and use it
to generate terms in that sequence
Level 6

2. By the end of today’s lesson:
All of you will be able to identify the next term
in a patterned sequence. (Level 5)
2) Most of you will be able to find the nth term rule
and use it to find a term in an ascending sequence.
(Level 6)
3) Some of you will be able to find the nth term and
use it to find a term in a descending sequence.
(Level 6)

3. Farmer Barleymow

4. 14m

5. 1m 1m section of fence 2m section of fence
Task:
Draw the pattern for a 3m section of fence and count how many pieces of wood are used
1m section of fence
2m section of fence

6. 3m section of fence
10m of wood
How much wood for
14m of fencing?

7. n 1 2 3 4 4 7 10 13 3n 3 6 9 12 + 3 3n + 1 3 times tables! Wood
Pattern n
Pattern
number 1 2 3 4 4 7 10 +3 13
Wood +1 3n 3 6 9 12
What else goes up
in 3s ??
+ 3
term-to-term rule: 3n
+ 1
nth term rule:
How much wood for
14m of fencing?
3 times tables!

8. Pattern n 1 2 3 4 4 7 10 13
Wood 3n
+ 1
nth term rule:
n=14
Task:
Use the nth term rule to calculate how many pieces of wood are needed for a 14m section of fence
3n+1 =
(3x14)+1=
=43

9. I need a taller
fence!!

10. 1m 2m
Task:
Draw the pattern for a 3m section of fence and count how many pieces of wood are used

11. n 1 2 3 7 12 17 nth term rule 5n +2 Rule is 5n+2 3m section
Task:
Calculate the nth term rule for this sequence and use to work out how much wood is needed for a 14m section of fencing
Rule is 5n+2
3m section
For 14m fence,
17 pieces of wood
(5x14)+2=
=72
Wood
Pattern n 1 2 3 -5 7 +5 12 +5 17
nth term rule 5n +2

12. Matchstick Patterns 1 2 3 4 6 11 16 21 - 5 1 +5 +5 +5 Rule is 5n + 1
Number of
huts (n) 1 2 3 4
Matches 6 11 16 21
- 5 1 +5 +5 +5
Rule is 5n
+ 1

13. Number of matches =
5n + 1
How many matches need for 50 huts?
Matches = (5 x 50) + 1
= 251

14. n Descending SEQUENCES 1 2 3 4 5 12, 9, 6, 3, 0 . . . Task:
Work out the nth term rule and write down the value of the 100th term in the sequence.
Descending
SEQUENCES n 1 2 3 4 5
- 3
- 3
12, 9, 6, 3,

15. Rule is -3n+15
For 100th term,
(-3x100)+15 =
=-285
- -3 =? n 1 2 3 4 5
- -3
- 3
- 3
12, 9, 6, 3,
nth term rule
-3n
+15

16. Find the nth term rule and use it to work out how many matches
are needed for the 50th pattern in these sequences:
6n-2 1.
nth term rule
Matches in
50th pattern
298
Number of
matches 4 10 16
3n+1 2.
nth term rule
Number of
matches 4 7 10
Matches in
50th pattern
151 3.
2n+1
nth term rule
Number of
matches 3 5 7
Matches in
50th pattern
101
17/01/2019
L.O. Find the nth term rule for a patterned sequence and use it to generate terms in that sequence (Level 6)

17. 4.
nth term rule 3n
Matches in
50th pattern
150
Number of
matches 3 6 9 12 5.
nth term rule
8n-4
Matches in
50th pattern
Number of
matches 4
396 12 20 6.
nth term rule
7n+1
Number of
matches 8 15 22
Matches in
50th pattern
351 7.
nth term rule
Number of
connecting
rods in
each shape
4n+1 5 9 13
rods in
25th pattern
101

18. Find the nth term rule and use it to work out how many matches
are needed for the 50th pattern in these sequences: 1.
nth term rule
Name:
Matches in
50th pattern
Number of
matches 2.
nth term rule
Number of
matches
Matches in
50th pattern 3.
nth term rule
Number of
matches
Matches in
50th pattern
17/01/2019
L.O. Find the nth term rule for a patterned sequence and use it to generate terms in that sequence (Level 6)

19. 4. 5. 6. 7. nth term rule Matches in 50th pattern Number of matches
connecting
rods in
each shape
lines in
25th pattern

20. By the end of today’s lesson:
All of you will be able to identify the next term
in a patterned sequence. (Level 5)
2) Most of you will be able to find the nth term rule
and use it to find a term in an ascending sequence.
(Level 6)
3) Some of you will be able to find the nth term and
use it to find a term in a descending sequence.
(Level 6)