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A patient takes 150 mg of a drug at the same time every day. Just before...

A patient takes 150 mg of a drug at the same time every day. Just before each tablet is taken, 5% of the drug remains in the body. What quantity of the drug is in the body after the third tablet? After the nth tablet? What quantity of the drug remains in the body in the long run?

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It is given that the patient takes 150 mg of a drug every day, 5% of the drug remains in his body th We need to find the quantity of the drug in the body after the third tablet, after the n tablet, also after a long run. Let R, be the quantity of drug remains in the body after nh tablet. So, the quantity of drug remains in the body after 1 tablet is, R 150 mg. Quantity of drug remains in the body after 2nd tablet is, R,-150+590 of R1 -150+0.05x150 Quantity of drug remains in the body after 3rd tablet is, R3-150 + 5% of R, -150+0.05x(150+0.05x 150) -150+0.05x150+0.052 x150 -157.875 So, the quantity of the drug in the body after the third tablet is, R, 157.875 By observing the above pattern of series, R, -150+0.05x150+0.052 x150++0.05- x150 n-1 -1500.05-1

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