If X={4^n-3^n-1:n elementof N}andY={9(n-1):n element of N}, prove that X is a subset of Y

to prove first write each set in roaster form

 X={0,6,36,164,..........}

 Y={0,9,18,27,36,45,.........}as

both sets are having elements which are not in other set so neither of two is subset of other