[math-fun] Nice little CF paradox

Defn: "Regular CF" just means unit numerators. True or false?: Two consecutive 0s in a regular CF cancel each other out. True or false?: Tacking a 0 onto the end of a finite regular CF erases the (formerly) final term. Therefore, tacking on two 0s erases the last two terms! Or does the 2nd 0 erase the first before the first erases the previous? —rwg Note added in obfuscation: As we saw yesterday, three consecutive i <https://i.ytimg.com/vi/BGnoZ9ndYJc/maxresdefault.jpg> (=√-1) terms cancel each other out: In[151]:= FromContinuedFraction[{1, 2, 2, 2}] Out[151]= 17/12 %^2/2 289/288 In[152]:= FromContinuedFraction[{1, 2, 2, 2, I, I, I}] Out[152]= 17/12 In[153]:= FromContinuedFraction[{1, 2, 2, I, I, I, 2}] Out[153]= 17/12