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

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Presentation transcript:

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

Warm-up Check Find each sum

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

Vocabulary

Find Partial Sums EXAMPLE 1 SOLUTION

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

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

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?.

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

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