I suspect it will get it, though it may not be ideal, i.e., slow.
Theres a presumption each version of ios wil get computationally heavier--that may not be the case. However--it does seem likely the ram requirements may grow. I found the mini does a really good job with ios7. i bought the mini last november--I think I may get 2 years out of it--I used the ipad1 for 3 years and it still works great on ios 5.x