Lesson 1 - Number Patternsasasasasa.pptx

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1. NUMBER PATTERN ( SEQUENCE ) It is an ordered list of numbers that follows a certain rule or arrangement. The numbers in the ordered list are called the “ Elements ” or the “ Terms ” of the sequence.

2. EXAMPLE: 5, 9, 13, 17, 21, 25, … Terms / Elements Ellipsis 29, 33 +4 +4 +4 +4 +4

3. EXAMPLE: 5 , 10 , 20, 40, 80, … x2 x2 x2 x2

4. EXAMPLE: 1 , 1, 2, 3, 5, 8, 13, … + + + + +

5. SEQUENCE OR NOT? Tell whether the given sets of numbers are sequence or not .

6. SEQUENCE OR NOT? 4, 11, 18, 25, 32, … SEQUENCE

7. SEQUENCE OR NOT? 13, 19, 25, 31, 36, … NOT SEQUENCE

8. SEQUENCE OR NOT? 2, 8, 16, 32, 64, … NOT SEQUENCE

9. SEQUENCE OR NOT?   SEQUENCE

10. SEQUENCE OR NOT? 1, 1, 2, 3, 5, 8, 13, … SEQUENCE

11. How can we generates a number pattern/sequence? ( GENERAL TERM OF THE SEQUENCE )

12. GENERAL TERM General term or nth term is a function value t(n), usually denoted by t n (read as “t sub n”). If you know the general term of the sequence, you can find the first term, second, or any other terms

13. 5 , 10 , 20, 40, 80, … n = 1 n = 2 n = 3 n = 4 n = 5

14. EXAMPLE: t n = 2n + 1 1 st term, n = 1 t 1 = 2(1) + 1 t 1 = 2 + 1 t 1 = 3 2 nd term, n = 2 t 2 = 2(2) + 1 t 2 = 4 + 1 t 2 = 5 3 rd term, n = 3 t 3 = 2(3) + 1 t 3 = 6 + 1 t 3 = 7 4 th term, n = 4 t 4 = 2(4) + 1 t 4 = 8 + 1 t 4 = 9 3, 5, 7, 9, … 11, 13, 15

15. EXAMPLE: t n = 3n - 2 1 st term, n = 1 t 1 = 3(1) - 2 t 1 = 3 - 2 t 1 = 1 2 nd term, n = 2 t 2 = 3(2) - 2 t 2 = 6 - 2 t 2 = 4 3 rd term, n = 3 t 3 = 3(3) - 2 t 3 = 9 - 2 t 3 = 7 4 th term, n = 4 t 4 = 3(4) - 2 t 4 = 12 - 2 t 4 = 10 1, 4, 7, 10, … 13, 16, 19