2. Definitions A SEQUENCE is a list of numbers in a particular order. Each number in a sequence is called a TERM.

3. Definition – Arithmetic Sequence

8. SequenceNumber 55494337… symbols Number symbols

9. SequenceNumber 55494337… symbols … Number symbols

10. SequenceNumber 55494337… symbols … Number55+1(-6) symbols

11. SequenceNumber 55494337… symbols … Number55+1(-6)55+2(-6) symbols

12. SequenceNumber 55494337… symbols … Number55+1(-6)55+2(-6) symbols

13. SequenceNumber 55494337… symbols … Number55+1(-6)55+2(-6) symbols

14. SequenceNumber 55494337… symbols … Number55+1(-6)55+2(-6)55+3(-6)…55+(n-1)d symbols

15. SequenceNumber 55494337… symbols … Number55+0(-6)55+1(-6)55+2(-6)55+3(-6)…55+(n-1)d symbols…

16. SequenceNumber 55494337… symbols … Number55+0(-6)55+1(-6)55+2(-6)55+3(-6)…55+(n-1)d symbols…

17. Example What is the 15 th term of the sequence 34, 31, 28, … Does a common difference exist?

18. Example What is the 15 th term of the sequence 34, 31, 28, … Does a common difference exist? Yes. What is the common difference?

19. Example What is the 15 th term of the sequence 34, 31, 28, … Does a common difference exist? Yes. What is the common difference? -3

20. Example What is the 15 th term of the sequence 34, 31, 28, … Does a common difference exist? Yes. What is the common difference? -3

21. Example What is the 15 th term of the sequence 34, 31, 28, … Does a common difference exist? Yes. What is the common difference? -3

22. Example What is the 15 th term of the sequence 34, 31, 28, … Does a common difference exist? Yes. What is the common difference? -3

23. Example What is the 15 th term of the sequence 34, 31, 28, … Does a common difference exist? Yes. What is the common difference? -3

24. Arithmetic Means The terms between any two nonsuccessive terms of an arithmetic sequence are called ARITHMETIC MEANS. In the sequence below 41, 52, and 63 are the three arithmetic means between 30 and 74.

25. Example – Arithmetic Means

34. Assignment