A) 4
B) 1
C) 0
D) 2
Correct Answer: C
Solution :
\[{{i}^{n}}+{{i}^{n+1}}+{{i}^{n+2}}+{{i}^{n+3}}(n\in N)\] \[={{i}^{n}}+{{i}^{n}}.i+{{i}^{n}}.{{i}^{2}}+{{i}^{n}}.{{i}^{3}}\] \[={{i}^{n}}+{{i}^{n}}.i-{{i}^{n}}-{{i}^{n}}.i\] \[=0\]
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