The side of the large square is 1 unit and each black point divides its corresponding segment in half. If this blue area continues in this pattern, then what is the total area in blue?
+1005 So the largest blue square is 1/4 of the total.
The second largest is 1/4 of 1/4 of the total = 1/16
The third is (1/4)^3 = 1/64.
The fourth is (1/4)^4 = 1/256
The 2 fifths are 2* (1/4)^5 = 2*1/1024 = 1/512
We add these up giving
171/512
I'm not sure this is correct but pretty sure it is.
if you don't understand anything feel free to ask!
