Math Problem Statement
a rubber ball is dropped on a hard surface from a height of 80 feet and bounces up and down. on each bound, it bounces up exactly one half the distance it just came down. how far will the ball have traveled if you catch it after it reaches the top of the seventh bounce (geometric sequence)
Solution
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Math Problem Analysis
Mathematical Concepts
Geometric Sequences
Series Summation
Distance Calculation
Formulas
Sum of a finite geometric series: S_n = a * (1 - r^n) / (1 - r)
Theorems
Geometric Series Summation
Suitable Grade Level
Grades 9-12
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