If you are adding an electron to H+, you are essentially starting from the n = ∞ state. If you end up in the n = 3 state, you release energy. (This is the opposite of ejecting an electron already bound to a hydrogen nucleus, which requires energy.) If your starting point is a neutral hydrogen atom in the n = 1 state, then you would be correct that energy would have to be absorbed to end up in the n = 3 state.