Write the common difference of an A.P. whose nth term is xn + y.

1.	Write the common difference of an A.P. whose nth term is xn + y.
Answer» Here, a_n = xn+ y ∴ a₁= x + y And a₂= 2x+y So, common difference of an A.P. is given by d = a₂ – a₁ = (2x+y)-(x+y) = x nth term Tn of an AP is given by Tn=x.n+y also we know d=Tn−Tn−1 d=x.n+y−(x(n−1)+y) =x.n+y−xn+x−y=x d=x

Answer»

Here,

a_n = xn+ y

∴ a₁= x + y

And a₂= 2x+y

So, common difference of an A.P. is given by

d = a₂ – a₁

= (2x+y)-(x+y)

= x

nth term Tn of an AP is given by Tn=x.n+y

also we know

d=Tn−Tn−1

d=x.n+y−(x(n−1)+y)

=x.n+y−xn+x−y=x

d=x