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AP EAMCET2001MathematicsComplex Number

If = 6 , then the 10th term of aligned & 1+( +i )+( +i )^2 & +( +i )^3+ is equal to aligned

Options

  1. Ai
  2. B-1
  3. C1
  4. D-i

Correct answer

D. -i

Step-by-step solution

aligned T₁₀=( +i & )^9 & =e^ i 9 =e^ i 9 6 =e^ i 3 2 =-i aligned

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