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Give a recurrence relation for W(n),

Give a recurrence relation for W(n),

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section: Chapter Questions
Problem 15RP
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the amount of water in the bird bath at the end of day n 

At the beginning of each day, Andrew adds one gallon of water to his bird bath. Each day, one-fourth of the water in the bird bath evaporates. At the end of day 0, the bird bath contains 8 gallons of water. Give a recurrence relation for W(n), the amount of water in the bird bath at the end of day n. W(n) = W(n-1) + if n = 0 if n > 0
Transcribed Image Text:At the beginning of each day, Andrew adds one gallon of water to his bird bath. Each day, one-fourth of the water in the bird bath evaporates. At the end of day 0, the bird bath contains 8 gallons of water. Give a recurrence relation for W(n), the amount of water in the bird bath at the end of day n. W(n) = W(n-1) + if n = 0 if n > 0
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n=0 is wrong. and 3/4

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