if n∑r=0{ar(x−y+2)r−br(y−x−1)r}=0,∀ n ∈ N, then bn is equal to
an
(-1)nan
(-1)n2nan
2nan
Take y - x- 1 = x ⇒ n∑r=0ar(1−X)r=n∑r=0brXr
Equating coefficient of both sides ⇒ bn=(−1)nan