does this apply only for terms that are less than 1 eg 1 + 1/2 + 1/4…. or does this apply to all ap/gp. I remember studying this, but it’s been so long I remember only the gist.
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There are two things happening here: numbers keep getting added, and numbers are being chosen to add. How those numbers are chosen affects how big the total get. If the choice is too big, the total will get bigger forever. However, if the numbers being added are small enough, it will keep changing, but it’ll be pointed towards a particular number.
This is like riding a bike to the store. At first, if you just go in the general direction of the store, you are getting closer, but as the distance gets shorter, you need to make smaller, more accurate adjustments to keep yourself on track.
This can go on “forever”, making smaller and smaller adjustments. At least until it’s too hard to stay upright on your bike. Then you get off it, and go inside.
People call heading towards the goal place or number **converging**, (*Latin: turning towards*). They call heading away **diverging** (*Latin: turning away*).
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