Question

Let (1 + x + x² ) ²⁰¹⁴ = a₀ + a₁x + a₂x² + a₃x³ + ..... + a_4028x ⁴⁰²⁸, and let 

A = a₀ – a₃ + a₆ – .... + a₄₀₂₆,

B = a₁– a₄ + a₇ – ....... – a₄₀₂₇,

C = a₂ – a₅ + a₈ – .... + a_4028,

Then -

(A)   |A| = |B| > |C|

(B)   |A| = |B| < |C| 

(C)   |A| = |C| > |B|

(D)   |A| = |C| < |B| 

Answer 1

Correct option  (D)  |A| = |C| < |B|

Explanation: