If the mth term of A.P. be and nth term be then show that its (mn)th is term is 1.

Asked by Topperlearning User | 19th Nov, 2013, 11:08: PM

Expert Answer:

Let a and d be the first term and common difference respectively of the given A.P.Then,

                                                ..(i)

                                     ..(ii)              

            Subtracting equation (ii) from equation (i), we have

                                             

                                        

                                        

                    Putting               in equation (i), we have        

                                             

                                        

                    (mn) term =   Ans.

Answered by  | 20th Nov, 2013, 01:08: AM