QUESTIONS

$1.(5$ marks$)$ A patient takes $150$ mg of a drug at the same time every day. Just before each tablet is taken, $\backslash (5\backslash \%\backslash )$ of the drug present in the preceding time step remains in the body.

$($a$)$ Set the recursion equation with the initial condition for this problem.

$($b$)$ What quantity of the drug is in the body after the $\backslash ($ n $\backslash )$th tablet?

$($c$)$ What quantity of the drug remains in the body in the long run?