1. A RITHMETIC & G EOMETRIC S EQUENCES Section 14.2

2. A RITHMETIC S EQUENCES

3. E XAMPLE 1:

4. N OTICE THE GENERAL FORM ?

5. G ENERAL T ERM OF AN A RITHMETIC S EQUENCE

6. E XAMPLE 2:

7. Plug in 20 for n Simplify

8. OYO:

9. E XAMPLE 3: So the eleventh term is 72.

10. OYO: Find the ninth term of the arithmetic sequence whose first three terms are 3, 9, and 15. 51

11. E XAMPLE 4: Divide these to get d : 15 / 5 = 3

12. E XAMPLE 4: d = 3

13. E XAMPLE 4:

14. OYO: If the third term of an arithmetic sequence is 23 and the eighth term is 63, find the sixth term. 47

15. E XAMPLE 5: A PPLICATION

17. G EOMETRIC S EQUENCES

18. E XAMPLE 6: Write the first five terms of a geometric sequence whose first term is 7 and whose common ratio is 2. The first five terms are 7, 14, 28, 56, 112.

19. G ENERAL T ERM OF A G EOMETRIC S EQUENCE

20. E XAMPLE 7:

21. OYO:

22. E XAMPLE 8: So the fifth term is 162.

23. OYO:

24. E XAMPLE 9: 1 1 1 4

25. OYO:

26. E XAMPLE 10: A PPLICATION P ROBLEM

27. H OMEWORK Unit 19 HW Page # 6 – 13