Question

若a=1-b分之一,b=1-c分之一,则用a表示c的代数式为?

Answer 1

a=1-1/b=1-[1/(1-1/c)]=1-[c/c(1-1/c)]=1-[c/(c-1)]

∴a-1= -c/(c-1)

(a-1)(c-1)= -c

ac-a-c+1= -c

ac-a+1=0

c=(a-1)/a