I once ran a spreadsheet with a half-life of 7 days, and administration every 7 days.
The amount from the first dosage is 1/2 after one week, 1/4 the next, 1/8 the next ad infinitum.
Even without calculus, it becomes apparent the the serum levels APPROACH twice the dosage amount (without ever actually getting there).
The "take away" is that after a dozen or so iterations, the weekly fluctuations are greatly reduced. After several months, even if a dose were missed or delayed, there is a substantial reserve circulating because of all the other earlier doses.