65 – Infinite Series Calculator Required Sequences and Series Investigations 65 – Infinite Series Calculator Required
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
Find the sum, if possible:
Find the sum, if possible:
Find the sum, if possible:
Find the sum, if possible:
Find the sum, if possible:
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
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