If Σ ar(x-2)^r ; r=0, 2n = Σ br(x-3)^r ; r=0, 2n and 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