1. An arithmetic series is the sum of the indicated terms of an arithmetic sequence. 4, 6, 8 arithmetic sequence 4 + 6 + 8 arithmetic series

2. Find the sum: 6 + 13 + 20 + 27 + 34 + 41 + 48 Sn = 6 + 13 + 20 + 27 + 34 + 41 + 48 Sn = 48 + 41 + 34 + 27 + 20 + 13 + 6 2Sn = 54 + 54 + 54 + 54 + 54 + 54 + 54 2Sn = 7(54) Sn = 7(54) = 189 2

3. Find the sum of the first20even numbers, beginning with 2. Example 2-1a

4. Find the first four terms of an arithmetic series in which 17 20 23 26 14+__+__+__+__+29=129 +d +d +d +d +d 14 14 + 5d = 29 5d = 15 d = 3 Example 2-3a

5. Sn = 4 + 8 + 12 + 16 + 20 Sigma notation can be used to express an arithmetic series Last value for n Formula for generating terms First value for n

6. How many terms are in the series 10 – 5 + 1 = 6 terms a1 = 2(5) + 3 = 13 a2 = 2(6) + 3 = 15 a3 = 2(7) + 3 = 17 a4 = 2(8) + 3 = 19 a5 = 2(9) + 3 = 21 a6 = 2(10) + 3 = 23 What are the terms in the series? Example 2-4b

7. Evaluate 6 terms a1 = 2(5) + 3 = 13 a6 = 2(10) + 3 = 23 6 13 23 6 6 = 3(36) = 108 Example 2-4b

8. Evaluate Terms: 10 – 3 + 1 = 8 a1 = 2(3) + 1 = 7 a8 = 2(10) + 1 = 21 8 Example 2-4a