Question

For what value of 'n' the nth terms of two A.P.'s 63,65,67,.......and 3,10,17,........ are equal.

PLEASE SEND THE SOLUTION SOON. IT IS VERY URGENT.

Answer 1

In first AP
                   63,65,67..........
a = 63
d = 2 
            an = a+(n-1)d
            an = 63+(n-1)2
            an = 63+2n-2
            an = 61+2n               .............(1)

 In second AP 
                       3,10,17 ......
a = 3
d = 7
             an = 3+7n-7
             an = 7n-4                      ....................(2)
 
                     from (1) and (2)
                      61+2n = 7n-4
                            5n = 65
                              n = 13