If 1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = y,
then x = ?
This one made me think.
If you start multiplying it it out you get
1/2x + 1/4x + 1/8x ........= y
x ( 1/2 +1/4 +1/8 + .........) = y
now
1/2 + 1/4 + 1/8 + ...... is the infinite sum of a GP with a=1/2=0.5 and r = 1/2 = 0.5
limiting sum = a/(1-r) = 0.5 / (1-0.5) = 2
so
2x = y
x = y/2
+118653 
