Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Review - Review Exercises - Page 107: 27b

Answer

$\frac {V(1)}{V(0)} = 3$ $\frac {V(2)}{V(1)} = 3.3$ $\frac {V(3)}{V(2)} = 3.3$ $\frac {V(4)}{V(3)} = 3.2$ $\frac {V(5)}{V(4)} = 3.2$ $\frac {V(6)}{V(5)} = 3.2$ - The ratio is tending to 3.2

Work Step by Step

1. Use the given data to calculate the indicated ratios: $\frac {V(1)}{V(0)} = \frac {300} {100} = 3$ $\frac {V(2)}{V(1)} = \frac {1000} {300} = 3.3$ $\frac {V(3)}{V(2)} = \frac {3300} {1000} = 3.3$ $\frac {V(4)}{V(3)} = \frac {10500} {3300} = 3.2$ $\frac {V(5)}{V(4)} = \frac {33600} {10500} = 3.2$ $\frac {V(6)}{V(5)} = \frac {107400} {33600} = 3.2$ 2. As we can see by these results, the ratio is tending to 3.2
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