How to generate a large number of constraints for all indices ($forall i$)

Is it possible to generate a set of constraints in the form "$forall$".
For example:

begin{align}
min & fleft(sum x_iright)
s.t. &
& x_igeq 17 && forall i=1,…,n.
end{align}
What would be the best way to create this set of constraints in the code? Possibly when using FindMin or NMinimize.