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Manipal MET2015MathematicsComplex Number

If x_n= 3^n +i 3^n , then x₁ x₂ x₃ is equal to

Options

  1. A1
  2. B-1
  3. Ci
  4. D-i

Correct answer

C. i

Step-by-step solution

We have, x_n= ( 3^n )+i ( 3^n ) x ₁ x ₂ x ₃ aligned & = ( 3 + 3^2 + )+i ( 3 + 3^2 + ) & = ( / 3 1- 1 3 )+i ( / 3 1- 1 3 ) & = 2 +i 2 =0+i=i aligned

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