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Sertralinsomnia

Half life of meds accumulate through the days?

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I was wondering, i dont know very much about half lifes of meds and steady states, etc. But i am curious on something, lets take zoloft for example, it has a half life of 24 to 26 hours. this would mean that if you take 50 mg today, tomorrow you would still have 25 mg in your blood, but tomorow you would take another 50 mg tablet, if the half life of the first pill is still there, it would mean that on the second day, we would have 75 mg of zoloft in our blood right? And then Since they are separate doses, they half lives would vanish indepedently, if so it would accumulate, i am missing something here, sorry for my curiosity., can someone explain how this reallly works?

 

According to what i understand this simple table shows that at the seventh day we would still have 98,8 mg on blood?  The numbers separated from / are the half lives of the pill from the day before.

 

 

DAY        1           2                                         3                                4                                                  5                                                        6                                                      7                              
DOSE    50     25/50 = 75 mg           12.5/25/50 = 87,5 mg    6.25/12.5/25/50 = 93,75 mg   3.2/6.25/12.5/25/50 = 93,95    1.2/3.25/6.25/12.5/25/50 = 98,2 mg   0.6/1.2/3.25/6.25/12.5/25/50 = 98,8 mg

 

 

So this would mean a dose of 50 every day would mean that a steady state is double the dose we take every day? If so that is way to huge. ????

 

 

Since i am only taking 2 mg a day, my steady state is in fact the double of it:

 

DAY           1         2         3            4                          5                                 6                                           7                              
dose           2     1/2   0.5/1/2   0.25/0.5/1/2  0.125/0.25/0.5/1/2    0.06/0.125/0.25/0.5/1/2    0.03/0.06/0.125/0.25/0.5/1/2 = 3.965 mg

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I posted a chart with the half-lives for Cymbalta, the medication I'm taking, in this post in my intro topic.

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