Is 1/4 in the Cantor Set? An Exploration of Proofs and Characteristics

[mynameisfunk]

Can anyone show me a proof of 1/4 being in the cantor set?? My prof said it is, I read it is, i saw no proof though. Not in my text anyway, also couldn't find it on google.

 

[hamster143]

Write 1/4 in ternary.

 

[g_edgar]

...and already know how to characterize the Cantor set in terms of ternary expansions...