The norm is to roughly double the grit each progression. It doesn't have to be exact, but that is the usual range.
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Some science stuff and "why" info:
These deep scratches will not sand out on 220 and 400 grit belts, and can come back as ghosts later on. Part of what is happening is the structured ceramic grits of the extra coarse belts have square grains that are cutting little slices of steel away from the blank - very much like thousands of mill bits milling away at it. This leaves tiny flat bottom grooves in the blade surface. These grains are extremely hard, and you are pushing hard against them. This work hardens the bottom of each grain's gouge. To make matters worse, the great pressure and high heat created in this micro-milling can cause the grain size to be larger along that gouge line ( not the same issue as grain growth in HT, but related). What is needed to allow nucleation and grain growth is the addition of energy. You are providing both kinetic energy as well as thermal energy. The result may be thin strands of coarser and harder steel grains among finer grain and softer steel.
Even when you sand the blade down to the bottom of the groove, the place where the groove was is still harder than the steel next to it. You have to completely remove the whole groove, not just reach the bottom of it. If you still see lines and marks - keep sanding until the surface looks even and there are no vestiges of the extra coarse grit. I don't leave 120 grit until this is the case all over the blade. Most of us have had a blade where after HT there are these funny lines that show up as we sand the surface to 1000 grit. They are often the ghosts of large grit where the steel was affected. You usually have to take the whole blade back to 120 grit and re-surface it, then go back up the grits again to remove them. (BTW, normalizing avoids these quite well when used as a part of your HT program)