PowerPoint H36 - Sequences and series 1.ppt

Sequences

1. 1
Sequences
Sunday 29 September 2024
© British Spring College Awka
Mathematics Department
Aim of the lesson:
Generate common
integer sequence.
Including odd and
even numbers,
squared numbers
powers of 2,
powers of 10 and
triangular numbers.

2. 2
Here is a sequence of arrows
Draw the next “picture”
n1234
N
Here is the table
471013
+ 3+ 3+ 3
3n36912
+ 1
N = 3n + 1

3. 3
n123456
N1611162126
Here is another table
5n51015202530
N = 5n - 4
+5+5+5+5+5
- 4

4. 4
Here are some coloured squares
Fill in this table and find the formula
n12345
N
Draw the next two “pictures”
4n48121620
N812162024
N = 4n + 4

5. 5
Here are some coloured squares
Fill in this table and find the formula
n12345
N
5n510152025
N712172227
N = 5n + 2
Draw the next two “pictures”

6. 6
Here is a sequence of triangles
Fill in this table and find the formula
n 1 2 3 4 5
N
4n4 8121620
N 2 6101418
N = 4n - 2
Draw the next “picture”

7. 7
Here is a sequence of triangles
Draw the next two “pictures”
Fill in this table and find the formula
n12345
N
8n816243240
N1624324048
N = 8n + 8

8. 8
Here is a sequence of triangles
n12345
N
6n612182430
N1218243036
Draw the next two “pictures”
Fill in this table and find the formula
N = 6n + 6

9. 9
Complete a table and find the formula.
The number of red lines
Answers on the next page

10. 10
n123456
2n24681012
N1357911
N = 2n - 1
n123456
4n4812162024
N159131721
n123456
4n4812162024
N5913172125
N = 4n - 3
N = 4n + 1

11. 11
For further examples use this excellent site:
http://waldomaths.com

then 11-14 then sequences

12. 12
The more your practise this, the better you
will become – so make sure you make this
part of your revision before the examination
Vocabulary:Sequences Terms

Difference Square
Odd Even