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Problem 1. Jack took a 200-mg dose of a pain killer at midnight. Every hour, 5%

of the drug is washed out of his bloodstream. Let dn be the amount of drug in Jack's

blood n hours after the drug was taken, where do = 200 mg.

1. Write out the first five terms of the sequence.

2. Find an explicit formula for the terms of the sequence.

3. Find a recurrence relation that generates the sequence.

4. Using a graphing utility, estimate the limit of the sequence or state that it does

not exist.

Fig: 1