1. Lesson 11.2 Arithmetic Sequences

3. 3 7 11 15 The slope and the common difference

4. An arithmetic sequence is a sequence whose successive terms differ by the same number, d, called the common difference. That is, if is any term in an arithmetic sequence, the following must be true: The formula is a recursive formula because it gives the nth term of a sequence in relation to the previous term and d. A pattern can be seen in the recursive formula for the arithmetic sequence defined by

5. The pattern formed by the recursive formula gives the information needed to write an explicit formula for the same sequence.

7. TRY THIS: Find the seventh term of the sequence defined by the recursive formula

8. Read about the garden-watering system on page 699. Close your books. How much does the watering-system cost? By how much does it depreciate each year? $389.95 $42.50

11. TRY THIS: Find the 12 th term of the arithmetic sequence in which n34567 tntn 8???20 dddd Find t 1 Find the 12 th term

12. The terms between any two nonconsecutive terms of an arithmetic sequence are called the arithmetic means between the two nonconsecutive terms

14. TRY THIS: Find the four arithmetic means between 24 and 39. 24, ?, ?, ?, ?, 39 The geometric means 27, 30, 33, 36

15. Lesson Quiz

16. Homework: Page 703: #8-29 pick 10 Page 704: #30-38 pick 3, #39-50 pick 4, #51-56 pick 2, #57-68 pick 3 #69-76 pick 3