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65 – Infinite Series Calculator Required

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Presentation on theme: "65 – Infinite Series Calculator Required"— Presentation transcript:

1 65 – Infinite Series Calculator Required
Sequences and Series Investigations 65 – Infinite Series Calculator Required

2 1, 4, 7, 10, 13, …. Infinite Arithmetic Diverges 3, 7, 11, …, 51 Finite Arithmetic 1, 2, 4, …, 64 Finite Geometric 1, 2, 4, 8, … Infinite Geometric r > 1 or r < -1 Diverges Infinite Geometric -1 < r < 1

3 Find the sum, if possible:

4 Find the sum, if possible:

5 Find the sum, if possible:

6 Find the sum, if possible:

7 Find the sum, if possible:

8 The Bouncing Ball Problem – Version A
A ball is dropped from a height of 50 feet. It rebounds 4/5 of it’s height, and continues this pattern until it stops. How far does the ball travel? 50 40 40 32 32

9 The Bouncing Ball Problem – Version B
A ball is thrown 100 feet into the air. It rebounds 3/4 of it’s height, and continues this pattern until it stops. How far does the ball travel? 100 100 75 75


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