Give a recurrence relation for W(n),

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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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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