Can I Make a Sequence for this Data to the nth Term?

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Homework Statement


I have a problem where I need to know if I can make a sequence for this data to the nth term. The first term, however, isn't common. Is there any way to somehow make it a sequence?
At dose 1 y(1)=De^(0*12*k)/(1-e^(0*12*k))
at dose 2 y(2)=D*e^(1*12*k)/(1-e^(12k)) + De^(0*12*k)
at dose 3 y(3)=D*e^(2*12*k)/(1-e^(12k)) +De^(1*12k)+De^(0*12*k)
so it should continue so that De^(12nk)+D(1+e^(1*12*k)+e^(2*12*k)+...+e^(nkt))
Is there any way i can make it look somewhat like a sequence or an nth term equation?
 
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Well, of course, it is a sequence but you seem to be asking if you can write a formula for the "nth" value. If it is only the first term that is a problem, write y(1)= your first formula, then "if n> 1, y(n)= ".
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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