For what value of n, are the nth term of two APs 63,65,67,....... And 3,10,17,...... equal?

For what value of n, are the nth term of two APs 63,65,67,....... And

1.	For what value of n, are the nth term of two APs 63,65,67,....... And 3,10,17,...... equal?
Answer» Let the 1st AP be A =63,65,68.....Let the 2nd AP be B = 3,7,17......For A , common difference is : 65-63 = 2\xa0For B ,common difference is : 10-3 = 7\xa0Now Let the nth term be An and Bn respectively.\xa0According to question\xa0An = Bn\xa0=> 63+(n-1)2 = 3+(n-1)7=>60 + 2n-2 = 7n-7=>65 = 5n\xa0=> n = 13Thus 13th term of both AP\'s will be same\xa0