In class the formula fnt1 = . - (1+g) fr " was presented. In it n represents the stage of + 1+ gf, enrichment, fn represents the fraction of the total that is the lighter of the two components (eg. 235U) at the nth stage of enrichment, and g represents the additional probability that a nucleus of the lighter type goes to the next stage as compared to a nucleus of the heavier type. In this problem we will work through how "iterating" such an expression works. For simplicity assume that in our initial input we have equal numbers of the two types so fo=.5. Let us assume we have discovered a very efficient method of enrichment for the lighter particles are twice as likely as the heavier ones to go to the next stage go g=1. Find the fat the next four stages, that is find f 1,f2,f 3 and f4.