this is only a part of what makes you grow. there is a reason bodybuilders are the most muscular mofos on the planet, while generally weaker than powerlifters.
if you find yourself constantly working in th range of 1-3 reps you should probably take up powerlifting.
to mix the 2 together check out the thread on mike o'hearn power bodybuilding , westside or 5/3/1 with BB template.
and yes you will grow by lifting heavier over time, ain't no rocket science