2. Standard Accessed: Students will analyze sequences, find sums of series, and use recursive rules.

3. Warm-up Check Find each sum. 1. 100 + 50 + 25 175 187.5 193.75 196.875

4. Big Idea When does an infinite geometric series have a sum, and when does it not have a sum?

5. Vocabulary

6. Find Partial Sums EXAMPLE 1 SOLUTION

7. Find the sum of the infinite geometric series. EXAMPLE 2 SOLUTION

8. EXAMPLE 3 SOLUTION What is the sum of the infinite series.

9. Clifford plays ball: EXAMPLE 4 Use an Infinite Geometric series in real life Clifford drops his rubber ball from the roof of KIS, about 60 feet. Each bounce takes it to 2/3 of its previous height. What is the total vertical distance the ball travels?.

10. EXAMPLE 5 SOLUTION Write 5.146146146… as a fraction in lowest terms. Write a repeating decimal as a fraction.

11. Lesson 7.4 Analyze Geometric Sequences & Series Homework: Honors – Homework Academic – Homework