Solve block for N inputs

I'm wondering if there is a simple way to perform this, as I can't figure it out.  

Let's saying we're using a solve block to develop a solution - in this case the flow through multiple orifices in series.  Easy enough to enter the equations and solve as follows:

But if we have 10 orifices, that's a lot of typing.  Is there a way to use indices or otherwise simplify this?  I was thinking of something along these lines, but can't get it to work.  Judging by the error maybe it's impossible.  

This still shows N=2 orifii as a starting point, but the table could have 2, 3, .. N rows.  

Any thoughts or solutions would be appreciated.

4.0 attached.

Thanks!