1. 12.2: Arithmetic Series

2. What is the pattern? What are the next three terms? Arithmetic Series: Notation: S 4 = ? Notice: S 4 ≠ a 4

3. Sigma notation: List the terms of the series and evaluate.

4. Sigma notation: List the terms of the series and evaluate.

5. Find S 5 Find S 132 A little story about Gauss…

6. Find S 132 The sum of an Arithmetic Series: Where S n is the sum of the first n terms, a 1 is the value of the first term, a n is the value of the nth term, and n is the number of terms.

7. List the first 3 terms of the series. Then use appropriate formulas to evaluate its sum (do not list all its terms!)

8. List the first 3 terms of the series. Then use appropriate formulas to evaluate its sum (do not list all its terms!)

9. A Greek theater was built in a semicircular shape. Each row of seat further away from the stage has 4 more seats than the previous row. The row closest to the stage has 50 seats. a)List the number of seats for each of the first 4 rows. b)The theater has 30 rows. How many people can seat in the row furthest away from the stage? c)Find the total capacity of the theater.