question_answer 64)

If   prove that        

Answer:

We shall prove by the principal of Mathematical Induction.       For n = 1, A1 =       Which is true.        given statement is true for n =1       Let us suppose that given statement is true for n = k.       ?. (1)       Consider for n = k + 1       Ak + 1 = Ak.A                                           which is true for n = k + 1       Hence by P.M.I., it is true for every