please also find P3 The figure below shows the quantity of the drug atenolol in

Question

please also find P3

The figure below shows the quantity of the drug atenolol in the blood as a function of time, with the first dose at time t = 0. Suppose atenolol is taken in 25 mg doses once a day to lower blood pressure. If the half-life of the atenolol in the blood is 6.2 hours, the percentage of atenolol still present at the end of a 24 hours period is approximately 7 %. Find expressions for the quantities Qo, Q1, Q2..., and Qn shown in the figure. Then write the expression for Qn in closed-form. Qo = Q1 = Q2 = ... Qn = Find expressions for the quantities P1, P2, P3..., and Pn shown in the figure. Then write the expression for Pn in closed-form. P1 = P2 =

Explanation / Answer

Q0 = 25 mg

Q1 = 25 + 25*0.07 = 26.75 mg

Q2 = 25 + 26.75*0.07 = 26.8725 mg

Qn = 25 + 0.07*Q(n-1)

P0 = 0.07*25 = 1.75 mg

P1 = 0.07*26.75 = 1.8725 mg

P2 = 0.07 * 26.8725 = 1.881075 mg

Pn = 0.07 * Qn mg

Thus, P3 = 0.07 * Q3 = 0.07 * (25 + 0.07*26.8725) = 1.88167 mg

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