The temperature of water in an ice cube tray is 70F when it is placed in a freezer. Its

Chapter 9, Problem 107

(choose chapter or problem)

The temperature of water in an ice cube tray is \(70^{\circ} \mathrm{F}\) when it is placed in a freezer. Its temperature n hours after being placed in the freezer is 20% less than 1 hour earlier.

(a) Find a formula for the nth term of the geometric sequence that gives the temperature of the water n hours after it is placed in the freezer.

(b) Find the temperatures of the water 6 hours and 12 hours after it is placed in the freezer.

(c) Use a graphing utility to graph the sequence to approximate the time required for the water to freeze.

Text Transcription:

70 degrees F

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