assume: 5^n + 2 x 11^n =3I, I = 1, 2, 3....
consider n=1,
5 + 22 = 27 = 3I, where I=9
.'. true for n=1
assume n=k,
consider n = k,
5^k + 2 x 11^k = 3I ** , I = 1,2,3...
consider n = k+1
5^(k+1) + 2 x 11^(k+1)=3I
=5^k x 5 + 2 x 11 x 11^k
=5.5^k + 22.11^k
=5(5^k +2.11^k) +...