which term of the AP 3,14,25,36..... will be 99 more than its 25 th term .

soln,
given,
a=3 and d=11
now , according to question ,
                                            a_n=a₂₅₊99
                                      or,  a+(n-1)d=a+24.d+99
                                      or,3+(n-1)11=3+24*11+99
                                      or, 3+11n-11=264+3+99
                                      or, 11n-8=366
                                     or, 11n=366+8
                                    or ,  11n=374
                                     or, n=374/11=34
therefore, the required term= 34th term