Look at the following sum 1+1/2+1/4+1/8+1/16+1/32+1/65 notice that the denominator of each fraction in the sum is twice the denominator that comes before it. if you continue adding on fractions according to this pattern, when will you reach a sum of 2?

You will never reach 2, because the value continues to be cut in half. This is often associated with the "half-room" riddle, that says if you walk half way across a room, then one fourth, followed by an eighth, and continue that pattern, will you ever make it to the end of the room? Scientifically you will, but mathematically, you can never.