Hi Anila,
Let x and y be the 6th and 5th term of the series respectively.
x^2-y^2=221
(x+y)(x-y)=17*13
x+y=17
x-y=13 solving these two equations we get x=15 ,y=2.
now ,7 th term =17,8 th term=32,9 th term=49,10 th term=81.