Math Problem Statement
- A ball is dropped from a height of 18m, and each rebound is 1/3 of the previous distance. a. How high is the ball in its 4th rebound? b. What is the total distance the ball has travelled if you catch it after reaches the top of the 5th rebound?
Solution
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Math Problem Analysis
Mathematical Concepts
Geometric Sequences
Distance Calculation
Series Summation
Formulas
h_n = h_0 * r^n (for the height of the ball after the nth rebound)
Total Distance = Initial height + 2 * Sum of rebound heights
Theorems
Geometric Series Formula
Suitable Grade Level
Grades 9-12
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