To be exact about it, the steady-state arithmetic is worth doing once, because it explains most of what people find confusing about weekly dosing.
Extending the interval and reducing the dose are not equivalent manoeuvres. Reducing the dose lowers the whole concentration-time curve proportionally. Extending the interval lowers the average but deepens the trough, and for a compound whose effect on appetite tracks concentration, a deep trough is felt.
Steady state, worked: with a half-life of about seven days and weekly administration, the accumulation ratio is roughly 1/(1 − 0.5) = 2, and you get to within about 97 per cent of steady state after five half-lives, so around thirty-five days — five weeks — after any dose change. A four-week step interval therefore has you escalating at roughly 94 per cent of the previous dose’s steady state, which is close enough to be sensible and not so close as to be conservative.
The label instructions for a missed weekly dose differ between agents, and reading the actual prescribing information rather than a summary is worth the ten minutes — the thresholds are specific and the reasoning behind them is stated.
The limitation of all trial-derived dosing reasoning is that trial populations were selected, monitored and supported in ways that do not resemble anyone reading this.
If you take one thing from this: dose rate drives tolerability, dose level drives exposure, and they are separate levers.