00:01
To find the steady state, the same thing is wondering how much of this drug is in our system.
00:07
And so if we start with the 120, and let's suppose this is the dose that we just took today.
00:15
And then, of course, we'll add the dose that we had from the day before, since 30 % was excreted, 70 % of that is still remaining in our system.
00:30
And since that was from yesterday, then if we go back in time two days ago, to that, dose the day we took it was 120 the next day 70 % remains the next day after that 70 % of that still remains and so you can see that these are going to have a multiplicative effect and these 70 % are going to continue to kind of compound as we go down the line and further back in time and so from here we could write this as a geometric series we have our initial amount 120 and we're interested in how much remains and so that's where we're multiplying by 70 % instead of 30%.
01:18
We'll call this to the power and since we notice that it's got a power of 1 here.
01:23
It's got a power of 2 here and so on.
01:26
It's got a power technically of 0 here.
01:29
And so we'll go ahead and make our index from 0 up to infinity...