Solve the Problem $$25 + \sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } 50 \left( 0.7 ^ { \mathrm { k } } \right) \text { feet. }$$

question 185

Essay

Solve the problem.
-A ball is dropped from a height of 25 feet. Each time it strikes the ground, it bounces up to 0.7 of the previous
height. The total distance the ball has travelled before the second bounce is 25 + 2(25 · 0.7) feet, and the total
distance the ball has travelled before bounce n + 1 is $$25 + \sum _ { \mathrm { k } = 1 } ^ { \mathrm { n } } 50 \left( 0.7 ^ { \mathrm { k } } \right) \text { feet. }$$ Use facts about infinite geometric series to calculate the total distance the ball has travelled by the time it has stopped
bouncing.

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The hierarchical structure within an organization that delineates authority, responsibility, and communication pathways.

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An informal communication channel within organizations where information, often unverified or speculative, spreads quickly among employees.

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The most effective and comprehensive form of communication, typically involving multiple channels such as verbal, nonverbal, and written methods.