If Σ r= 0, 2n ar(x -2)^r = Σ r=0, 2n br (x -3)^r and ak = 1 for all k ≥ n, then bn =

Question

If \(\sum\limits_{r = 0}^{2n}a_r(x-2^r)= \sum\limits_{r=0}^{2n}b_r(x - 3)^r\) and \(a_k =1\) for all k ≥ n, then b_n =

(a) ⁿC_n

(b) ²ⁿ⁺¹C_n+1

(c) ²ⁿ⁺¹C_n

(d) None of these

Answer 1

Correct option is (b) ²ⁿ⁺¹C_n+1