WBJEE · Maths · Complex Number
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 \(i^n\)
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
\[ \text { Hints : } \dot{i}^n\left(1+\dot{i}+\dot{i}^2+\dot{i}^3\right)=\dot{i}^n(1+\dot{i}-1-\hat{i})=0 \]
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