2. Sequences and Series The study of order…..

3. Suppose you were the “Fry-Guy” at McDonalds for the summer… Summer jobs?

4. The Graph of your bank account would look like: At your job, you were able to bank $125.00 per week for 8 weeks This relationship can be represented in different ways

5. Week $ 1 2 3 4 5 6 7 8 1000 0

6. Your pay can also be represented with a function (where we begin) To do this, we need to examine the pattern of the numbers 1 2 3 4 5 6 7 8

7. Examine the following patterns to predict what the next symbol will be…. OTTFF…..

8. M T W T F S…. JFM A M…

9. Given any pattern, the simplest progression will be the implication.

10. These examples are called Sequences 8421… 1827 … 02612… 13579… 2481632 …

11. A number sequence is a set of numbers, usually separated by commas, arranged in an order. The first term in t 1, the second term t 2, and so on…

12. Write the sequence given the formula for the nth term t n = 3n – 2 Find the 10 th term

13. Write the formula for the given sequence 4,7,10,13

14. Pg 433 1[a,c,e] 2[a,c,e,g] 3,4 [odd] 5a Do not find the formula

15. The implicated sum of the terms of any sequence is called a SERIES SERIES 1+3+5+7+9… 13579… SEQUENCE

16. These sequences can be divided into 2 groups….any suggestions? 8421… 0510 15… 13579… 24816 32 … + X

17. Arithmetic 8421… 13579… Geometric Add 2 every step Multiply by 0.5

18. A Geometric Sequence What if your pay was doubled every week? What would the results look like in that case?

19. Weeks Pay 1 125 2 250 3 500 4 1000 5 2000 6 4000 7 8000 8 16000

20. Week $ 1 2 3 4 5 6 7 8 16000 0

21. 1 3 5 7 9 … In an arithmetic sequence, terms are generated using a constant common difference

22. Example 1) The sequence 2,9,16… is given; determine the 20 th term. A Mechanical solution - =2,9,16,23,30,37,…135

23. Pg 12 1,2 4,5,7,8,9 12,14,15