PowerPoint H36 - Sequences and series 1.ppt
- 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” n 1 2 3 4 N Here is the table 4 7 10 13 + 3 + 3 + 3 3n 3 6 9 12 + 1 N = 3n + 1
- 3. 3 n 1 2 3 4 5 6 N 1 6 11 16 21 26 Here is another table 5n 5 10 15 20 25 30 N = 5n - 4 +5 +5 +5 +5 +5 - 4
- 4. 4 Here are some coloured squares Fill in this table and find the formula n 1 2 3 4 5 N Draw the next two “pictures” 4n 4 8 12 16 20 N 8 12 16 20 24 N = 4n + 4
- 5. 5 Here are some coloured squares Fill in this table and find the formula n 1 2 3 4 5 N 5n 5 10 15 20 25 N 7 12 17 22 27 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 4n 4 8 12 16 20 N 2 6 10 14 18 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 n 1 2 3 4 5 N 8n 8 16 24 32 40 N 16 24 32 40 48 N = 8n + 8
- 8. 8 Here is a sequence of triangles n 1 2 3 4 5 N 6n 6 12 18 24 30 N 12 18 24 30 36 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 n 1 2 3 4 5 6 2n 2 4 6 8 10 12 N 1 3 5 7 9 11 N = 2n - 1 n 1 2 3 4 5 6 4n 4 8 12 16 20 24 N 1 5 9 13 17 21 n 1 2 3 4 5 6 4n 4 8 12 16 20 24 N 5 9 13 17 21 25 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