Q104 / 160 · WBJEE 2009 · Mathematics

If $i=\sqrt{-1}$ and $n$ is a positive integer, then $i^n+i^{n+1}+i^{n+2}+i^{n+3}$ is euqal to

  • A
    1
  • B
    $i$
  • C
    $i^n$
  • Correct answer
    D
    0

Solution

$$ \text { Hints : } \dot{i}^n\left(1+\dot{i}+\dot{i}^2+\dot{i}^3\right)=\dot{i}^n(1+\dot{i}-1-\hat{i})=0 $$

Hence, the correct answer is option: 'D'.

More Complex Number Questions