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KCET2016MathematicsComplex Number

The simplified form of ( i^ n +i^ n+1 +i^ n+2 +i^ n+3 ) is

Options

  1. A( 0 )
  2. B( 11 )
  3. C( -1 )
  4. D10

Correct answer

A. ( 0 )

Step-by-step solution

Given ( i^ n +i^ n+1 +i^ n+2 +i^ n+3 ) ( =i^ n (1+i+i²+i³ ) ) ( =i^ n (1+i-1-i)=0 )

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