just prove that the given is in ap
for this given you that
an =[n/x ]+y
then a n - 1 will be[ n - 1 / x] +y
an-an - 1 =1/x
find the second term by n = 2
1 st term n = 1
d = 1/x
as the difference is constant and same then the given progression is arithmetic
sr = r/2 [2 a+(r - 1)d ]
d = 1/x
a = 1/x+y
then you will get ans (a) just check it